Main Erratum Page for:
String Theory
(also known as)
Last update: Jan. 3, 2005.
(This page based on the example
and template from
An Introduction to Quantum Field Theory
by Michael E. Peskin and Daniel V. Schroeder.)
- Volume I, Chapter 1, 2, 3, 4, 5, 6, 7, 8, 9, Appendix A
- Volume II, Chapter 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
Appendix B
- Glossary
Return to:
My home page,
The Big Book home page,
Acknowledgements,
Addenda.
Volume I:
- p. xvii (12/6/98)*: This is most embarrassing, the web address
for
the book is given incorrectly: "uscb" should of course be "ucsb". But
if you are reading this then you already know that! My only excuse is
that this was added at a rather late stage in the proofs. (Thanks to S.
Dimopoulos, L. Alvarez-Gaume, and L. Birke)
- p. xvii (12/31/04): In the v. 2 preface, "Sao Poala" should be
"Sao Paolo".
Also, the accent on the "a" should be a tilde, in both volumes. (Thanks
to L. Motl)
Chapter 1:
- p. 3 (12/30/98)*: In eq. 1.1.3 the integral should actually be
E^2
\int dE' E'. The structure of gravity requires that the amplitude be
proportional to two powers of the fixed external energy, leaving only
two powers of the virtual energy. The conclusion is unchanged: the
divergences grow worse with each additional graviton.
- p. 14 (4/4/99)*: In eq. 1.2.25, left-hand side, the \partial_a
acts on everything to its right. (Thanks to E. Lima, L. Motl)
- p. 14 (4/4/99)*: In eq. 1.2.26, it should be "-\infty <
\tau
< \infty" (instead of \leq, \geq). Also on p. 17 above eq. 1.3.8.
(Thanks to E. Lima) (picky,picky)
- p. 14 (4/4/99)*: In eq. 1.2.27, one \mu in each contraction
should be lowered. (Thanks to L. Motl)
- p. 17 (4/25/99)*: Eq. 1.3.8a is not incorrect, but is perhaps
more
consistently written "X^+ = \tau". (Thanks to Y. Nakayama, Shesansu).
- p. 18, 20 (12/6/98): Lower case "x", previously used for
spacetime
coordinates, is now used also for the center-of-mass mode of X. My
apologies, but I ran out of letters some time around 1991.
- p. 18 (9/24/01): In eq. 1.3.11, "X^-" should be "x^-"; Y^-
drops out on integration, because we have already set
\gamma_{\sigma\sigma}
independent of \sigma. (Thanks to R. Guida, M. Bagnoud) (12/27/04): By
the way, when we vary Y_-, we only get \partial_\sigma
\gamma_{\sigma\tau} = \sigma-independent because the variation of Y^-
is constrained by the fact that it has zero mean. So at the top of the
next page
and below 1.3.14 we should have \partial^2_\sigma \gamma_{\sigma\tau} =
0. But this is sufficient to derive \gamma_{\sigma\tau} = 0 from the
boundary conditions.
(Thanks to T. Kaeding)
- p. 19 (4/4/99)*: In eq. 1.3.20a, right
equation, the minus sign on \partial x^- should be deleted. (Thanks to
E. Lima)
- p. 23 (12/6/98)*: In the line below eq. 1.3.38, "mass" should
be
"mass-squared".
- p. 25 (12/30/98)*: Three lines below eq. 1.4.2, the reference
to
(1.4.1) should be to (1.4.2). (Thanks to F. van Buul)
- p. 26 (4/25/99)*: In eq. 1.4.4, \alpha and \tilde\alpha should
be
interchanged. This is necessary for consistency with the discussion on
page 34, with \sigma=\sigma^1 and \tau = \sigma^0. OR (and this is
what I will do in the third printing) let \sigma= - \sigma^1 and \tau =
\sigma^0. Then 1.4.4 stands but the second and third lines of 1.4.10
get - signs.
(Thanks to L. Motl, E. Lima
for catching this subtle error)
- p. 26 (4/25/99)*: In the line below eq. 1.4.4, the index on
\alpha
and \tilde\alpha should be "i", not "\mu", since we are in light-cone
quantization. Also in eq. 1.4.18, 1.4.19. (Thanks to E. Lima)
- p. 30 (12/28/04): In exercise 1.3, in the expression for k,
the + sign holds for both timelike and spacelike boundaries on a
Lorentzian world-sheet, and the - sign for any boundary on a Euclidean
worldsheet. (Thanks to S. Katz)
Chapter 2:
- p. 33 (4/4/99)*: (Minor grammar) Line below eq. 2.1.7,
"Jacobian.^1
Note also that" should be "Jacobian,^1 and that". (Thanks to S. Berger)
- p. 38 (4/25/99)*: In eq. 2.2.4, the additional term ":X^\nu
X^\mu
(z_2, \bar z_2):" should appear. (Thanks to O.
Ruchayskiy, M. Bagnoud, M. Maggiore, D. Bernardini, and to Y. Nakayama
for correction to correction.)
- p. 40 (4/4/99)*: In the line below eq. 2.2.12, the indices \mu
on k_1 and k_2 should be lowered. (Thanks to L. Motl)
- p. 46, 48, 51 (12/6/98)*: In the line above eq. 2.4.14, there
should be
an \epsilon on the RHS of the equation for \delta A, or an
\epsilon^{-1} on the LHS.
Similarly for the right-hand sides of eqs. 2.4.23, 2.4.24, and 2.5.16.
(Thanks to L. Motl, H. Panagopoulos)
- p. 49 (4/4/99)*: Below eq. 2.5.2, the reference to eq. 2.4.11
should be to 2.4.12. (Thanks to H. Chen, C. Burrell)
- p. 55 (4/4/99)*: In eq. 2.6.16, delete subscript "i" on
right-hand
side. (Thanks to M. Bagnoud, S. Berger)
- p. 55 (12/27/04): In eq. 2.6.17, consistency with 2.3.11
requires a bar on the Res.
(Thanks to G. Jones)
- p. 61 (12/31/98)*: In
eq. 2.7.19, the "\sim" is actually an "=". (Thanks to F. van Buul)
- p. 62 (4/4/99)*: In
eq. 2.7.22, the first line should have a minus sign for consistency
with
eq. 2.8.14 (which is standard); the second line is correct. The
integral
in eq. 2.8.14 runs counterclockwise, and z = e^{-iw}. (Thanks to L.
Motl)
- p. 62 (4/4/99)*: In
eq. 2.7.27, the dot in the last term is redundant, since the \mu are
explicitly contracted. (Thanks to L. Motl)
- p. 67 (4/4/99)*: In eq. 2.8.18, the exponent of "r" should be
"-L_0 - \tilde L_0" and also one line below; four lines below it should
be "+L_0 + \tilde L_0". (Thanks to F. Ferrari) Also, for good form the
order of the two measures should be interchanged, since the outer
(d\phi_i) as written depends on the inner (d\phi_b').
(Thanks to L. Motl)
- p. 68 (12/27/04): Near bottom of page, on page 68, line 3 from
below, "interior of unit circle" should be replaced by "interior of
unit disk" and "exterior of unit circle" should be "exterior of unit
disk". (Thanks to T. M. Sorenson)
- p. 70 (12/27/04): Two lines below eq. 2.9.3, "A_l" should be
"A_m".
(Thanks to T. Kaeding, M. Headrick)
- p. 71 (12/27/04): Below eq. 2.9.9, "section 2.4" should be
"section 2.6".
(Thanks to T. Kaeding)
- p. 71 (4/4/99)*: Eq. 2.9.10 is incorrect. The same generators
appear on each side, but in SL(2,R) x SL(2,R) the coefficients of the
L's and \tilde L's are independent real numbers while in SL(2,C) the
coefficients of the L's are complex and are the conjugates of the
coefficients of the \tilde L's. (Thanks to L. Motl) [Note that in
corrected editions it is no longer an equation.]
- p. 72 (4/4/99)*: In the line above eq. 2.9.15, the equation
"h_O = 0" should be "h_O = \tilde h_O = 0".
(Thanks to L. Motl)
- p. 72 (4/4/99)*: Two lines below eq. 2.9.16, "the only CFT
with c=0"
should be "the only unitary CFT with c=0".
(Thanks to L. Motl)
- p. 74 (1/2/00): In exercise 2.3(b), you are to use the
expectation value
given above in the exercise, not rederive it. (Thanks to W. Polkosnik)
Chapter 3:
- p. 92- (12/27/04): It should be emphasized that eq. 3.4.9
through 3.4.14 are only true in conformal gauge. (Thanks to M.
Headrick, G. Jones)
- p. 93 (1/2/00): In eq. 3.4.13, and the second and third lines
below, each "v" should be multiplied by an \epsilon, or the LHS by an
\epsilon^{-1}.
- p. 94 (12/31/98)*: In eqs. 3.4.21 and
3.4.22, contact terms (additional terms at z = z', as well as
ambiguities in various quantities at that point) are (deliberately)
ignored: the relation between c and a_1 is obtained from the behavior
at
z \neq z'. (Thanks to R. Stora)
- p. 94 (12/27/04): Below eq. 3.4.22, the subscript "1" should
be "\delta". (Thanks to M. Headrick)
- p. 96 (12/31/04): While eqs. 3.4.27 and 3.4.30 are both
correct, one refers only to Z and the other to a general path integral.
Both hold in the general case, so replace "Z[g]" with "<...>_g"
in eq. 3.4.27. (Thanks to S. Giddings)
- p. 105 (6/26/99): In eq. 3.6.15c, "\partial_a" on the LHS
should be
"\nabla_a". (Thanks to C. Herzog)
- p. 106 (12/30/98)*: In eq. 3.6.20c,
delete the factor of
\alpha'. (Thanks to M. Maggiore)
- p. 114 (4/4/99): The last sentence is erroneous. If D were 4
this
would be the observed gravitational coupling. When D>4 the volume of
the compact dimensions also enters into the observed coupling, as in
eq. 8.1.12 for example. (Thanks to L. Motl)
- p. 116 (4/4/99)*: In the line before the last paragraph, the
Planck
length is 1.6 x 10^{-33} cm, not ^{-32}. By the way, for a
discussion of the recent idea of large compact dimensions, see the addendum to chapter 18. (Thanks to L. Motl)
- p. 119 (1/2/00): In exercise 3.6, "-4a" should be "+4a".
(Thanks to P.-J.
De Smet and W. Polkosnik)
- p. 119 (4/4/99)*: In exercise 3.10, line 4,
"appears to one" should be "appears to be one".
(Thanks to L. Motl)
Chapter 4:
- p. 124, 136 (4/4/99)*: In eq. 4.1.18, the factor "2" should be
"(2\alpha')^{1/2}".
(Thanks to M. Bagnoud, S. Berger, L. Motl) Also two lines below eq.
4.3.28. (Thanks to L. Motl)
- p. 129 (12/6/98)*: In eq. 4.2.19, the "X^\mu" in delta e
should be
"e". (Thanks to S. Iso)
- p. 129-130 (4/4/99)*: In eq. 4.2.23, "eb\dot c" should be
"-e\dot b
c". In eq. 4.2.24, "+\dot b c" should be "-\dot b c". In eq. 4.2.25b,
"b\dot c" should be "-\dot b c". (Thanks to L. Motl, S. Hong)
- p. 130 (4/4/99)*: In eq. 4.2.29, "k^2 + m^2" should be "\half
(k^2
+ m^2)" (Thanks to L. Motl)
- p. 131 (4/4/99)*: Two lines below eq. 4.2.33, delete "are" at
end
of line. (Thanks to F. Ferrari)
- p. 131 (12/28/04): In eq. 4.3.1c, in each variation, the
second term in parentheses should be deleted. This caused me some
confusion, because there is an invariance of the uncorrected form but
it requires adding a nonstandard term to the definition of T^g; the two
forms of the symmetry are equivalent on-shell, and the form without the
extra terms is clearly simpler. (Thanks to M. B. Green)
- p. 132 (12/28/04): In eq. 4.3.4c the argument of O^m should be
(0,0) everywhere because it's not holomorphic. (Thanks to G. C. Jones)
- p. 139 (12/27/04): Eq. 4.4.8 should be (creation-annihilation)
normal orders. (Thanks to M. Buice)
Chapter 5:
- p. 155 (4/4/99)*: In eq. 5.3.5, the final term in parentheses
should be "-\hat\nabla \cdot \delta\sigma". (Thanks to S. Berger)
- p. 158 (12/28/04): In eq. 5.3.16, the dummy index k is used
twice, and should be primed in the second product. (Thanks to G.
Calcagni)
- p. 158 (4/4/99)*: In eq. 5.3.18, the final term should be
det'[
(P_1^T P_1)^{1/2}/2\pi]. (Thanks to M. Fabinger)
- p. 158-9 (1/2/00): In eq. 5.3.19, the sign of the RHS is wrong
(should be "1 - 2\lambda"); this is
correlated with the correction to exercise 3.6. In eq. 5.3.20, the
minus
sign after the "=" should be deleted.
- p. 159 (4/4/99)*: In eq. 5.3.20, a factor \epsilon has been
omitted
on the right-hand side. (Thanks to M. Fabinger, L. Motl)
- p. 162 (4/4/99)*: In eq. 5.4.10, the barred and unbarred
indices on
\mu are reversed, e.g. the first \mu should be _z^\bar z. (Thanks to F.
Ferrari, L. Motl)
Chapter 6:
- p. 172 (12/31/04): In eq. 6.2.19, some \omega-dependent terms
from the contractions of the \partial X's with the exponentials have
been omitted, while some omege-dependent terms have been kept. As
discussed below eq. 6.2.17, the \omega-dependence in the end cancels
for physical vertex operators, or we can just push the curvature to
infinity and omit this dependence completely. (Thanks to Z.
Komargodski)
- p. 175 (4/4/99)*: In eq. 6.2.34, a factor \eta^{\mu\nu}
should appear in the last term. (Thanks to M. Hayakawa)
- p. 176 (6/1/99)*: In eq. 6.2.39, the subscripts on the
expectation value and on C^X should be "RP_2", not "D_2". (Thanks to L.
Motl)
- p. 177
(4/4/99)*: In eq. 6.3.6, the u-integral should have a minus sign
because the
clockwise z-contour is counterclockwise in u (of course, this integral
vanishes anyway). (Thanks to L. Motl)
- p. 179, 187 (4/4/99)*: In eq. 6.4.1,
boundary normal ordering should be used, and also in eqs. 6.4.5,
6.5.10,
6.5.11. (Thanks to S. Berger, L. Motl)
- p. 179 (12/28/04): In eq. 6.4.2, the factor of 2 should be
omitted and a + (k_2 <--> k_3) term added (actually these are
equal, but this requires the next equation). (Thanks to O. Aharony)
- p. 181 (12/28/04): In eq. 6.4.11, a "dy" is missing in the
integral. (Thanks to J. Reuter)
- p. 184 (4/4/99)*: Stirling's approximation, in the line above
eq.
6.4.28, is given incorrectly: "2\pi/x" should be "2\pi x". (Thanks to
L. Motl)
- p. 184 (4/18/99)*: In eq. 6.4.29, the arguments of the
logarithms
should for good form be dimensionless, e.g. "s\alpha'" (though the
"\ln(units)" is subleading).
In 6.4.30, the "=" should be "\approx".
(Thanks to L. Motl). Also, since eq. 6.4.28 does not match
dimensionally,
"\approx" should be weakened to "\propto".
- p. 186 (4/4/99)*: In the first line, "guage" should be
"gauge". (Thanks to F. Ferrari, O. Ruchayskiy)
- p. 186 (4/4/99)*: In eq. 6.5.6, the Chan-Paton traces in the
third
and fourth lines should be interchanged. One way to see this is to
note that the terms with poles in s must have \lambda^{a_1}
next to \lambda^{a_2}, and so on. (Thanks to M. Maggiore, L. Motl)
- p. 186 (7/1/99): Below eq. 6.5.6, "s = -\alpha'" should be
"s = -1/\alpha'". (Thanks to K. Nagami)
- p. 191 (4/4/99)*: In eq. 6.5.26, the first factor should
be [(\gamma^T)^{-1} \gamma]_{ii'}. (Thanks to S. P. de Alwis, L. Motl)
- p. 192 (12/28/04): In eq. 6.5.32, the first two factors on the
RHS should
be (\gamma^T)^{-1} \gamma. In the ast line of first paragraph, the
inline equation should read
"\gamma^{-1} \gamma^T \propto 1". (Thanks to M. Headrick)
- p. 194 (12/28/04): In eq. 6.6.13, the arguments of the
logarithms
should for good form be dimensionless, e.g. "s\alpha'" (though the
"\ln(units)" is subleading). (Thanks to L. Cagnani, A. Leibovich)
- p. 194 (12/28/04): In eq. 6.6.17, the "+" should be a "-"
(also in the ensuing text).
This is needed for consistency with 3.7.11a and also with 6.6.18.
(Thanks to C. Krishnan)
- p. 195 (1/2/00): In the line below eq. 6.6.21, "-\pi" should
be "\pi".
In eq. 6.6.22, on the LHS in the exponent of (1-\bar z) "a" should be
"b", and
the RHS should be multiplied by 2, from the definition of d^2z. Also,
$m_1 - n_1$ and $m_2 - n_2$ must be integers.
(Thanks to K. Nagami, H. Ooguri, S. Rinke, I. Melnikov, G. Shiu, S.
Stieberger,
N. Bernhard, R. Richter)
- p. 197 (4/4/99)*: In the last line, "CKV" should be "CKG".
(Thanks
to M. Fabinger)
Chapter 7:
- p. 207 (4/4/99)*: In the line below eq. 7.1.9,
"\tau_2" should be "t". (Thanks to M. Hayakawa, M. Fabinger)
- p. 211 (4/4/99)*: In eq. 7.2.15, "O(w^2)" should be "O(w)",
because the left-hand side has not been symmetrized in w.
(Thanks to L. Motl)
- p. 212 (12/28/04): Below eq. 7.2.26, the state "down down"
should be "up up".
(Thanks to M. Headrick, O. Aharony, S. Giddings)
- p. 215 (4/4/99)*: On the RHS of eq. 7.2.40d needs an
additional factor of "i"
(that is, there is a factor "-i" that does not appear in 7.2.40abc.
(Thanks to L. Motl)
- p. 219 (12/28/04): In eqs. 7.3.14, \tau_2 >0 (this is
implicit, going back to the topof p.148). (Thanks to K-S Choi.)
- p. 219 (4/25/99)*: In eqs. 7.3.15 and 7.3.16, the leading
factor
"2\pi" should be deleted. (Thanks to L. Motl, and to F. Fehsenfeld
for correction to correction.)
- p. 226 (4/4/99)*: In the fifth line, "torus" should be
"cylinder".
(Thanks to L. Motl)
- p. 226 (4/4/99)*: In eq. 7.4.13, all
subscripts "n" should be "-n". (Thanks to R. Karp, M. Maggiore, L.
Motl)
Also, the state |B> needs a factor of "(c_0 + \tilde c_0)". (Thanks
to L.
Motl) (12/31/04) This erratum previously had the wrong equation number.
(Thanks to S. Giddings)
Chapter 8:
- p. 231 (9/24/01): Two lines below eq. 8.1.1, subscripts "5"
should be "4"
to agree with 8.1.1. (Thanks to J. I. Rosado Sanchez, S. Watson, G. C.
Jones)
- p. 233 (12/28/04): In eq. 8.1.9, first line,
"G_d" should be "G" (the determinant of G^D_{MN}), and above this
equation "G_{MN}" should be "G^D_{MN}". (Thanks to G.C. Jones)
- p. 238 (4/4/99)*: Two lines below eq. 8.2.16, it should be
"X_L(z) = X_R(\bar z)"
(subscripts reversed). (Thanks to S. Berger, L. Motl)
- p. 240 (9/24/01): First of eq. 8.2.26, subscript "12" should
be deleted.
(Thanks to J. I. Rosado Sanchez, G. Jones)
- p. 241 (12/28/04): Eq. 8.3.3a should just be 8.3.3.
(Thanks to G. Calcagni)
- p. 244 (4/4/99)*: The "hat" in eq. 8.3.17 should be
deleted. (Thanks to L. Motl)
- p. 249 (12/28/04): In eq. 8.4.3 there should be a g^{1/2}
inside the parentheses (compare eq. 3.6.14). (Thanks to G. C. Jones)
- p. 249-50 (1/2/00): In eqs. 8.4.5, 8.4.6, and 8.4.7, the sign
of the B_mn term
should be reversed (signs respectively -, + ,-) .
(Thanks to A. Pankiewicz)
- p. 251 (12/28/04): The "l = k (\alpha' /2)^{1/2}" above
8.4.16, should be "l_{L,R} = k_{L,R} (\alpha' /2)^{1/2}" for clarity.
(Thanks to K-S Choi)
- p. 255 (4/4/99): The products in eq. 8.4.38 and eq. 8.4.40 are
semidirect, because the Z_2's do not commute with the PSL(2,Z)'s.
(Thanks to L. Motl)
- p. 257 (12/28/04): In 8.5.5, the N^25 should be \sum_m n^25_m,
NOT \sum_m m n^25_m.
(Thanks to Z. Komargodski, S. Giddings)
- p. 262 (12/28/04): In the figure caption, "dodecahedral"
should be "icosahedral" for consistency (though there are the same
group).
(Thanks to T. Kaeding, G. Calcagni)
- p. 262 (6/26/99): In line 9, "physical" should be
"physically".
(Thanks to C. Herzog)
- p. 264 (1/2/00): In eq. 8.6.3, the sign of the second term
(m^2)
should be positive. (Thanks to M. Bagnoud)
- p. 266 (12/28/04): End of first paragraph, X^{25} should be
primed. (Thanks to G. C. Jones)
- p. 267 (12/28/04): In eq. 8.6.19 the second "+" on the second
line should be a "-". (Thanks to G. C. Jones)
- p. 272 (4/4/99)*: Next-to-last line of second full paragraph,
"an key role" should be "a key role". (Thanks to F. Ferrari)
- p. 272 (12/28/04): Six and seven lines below eq. 8.7.11, "n"
should be "kn" in each line. (Thanks to G. Calcagni)
- p. 275 (1/2/00): Three lines above eq. 8.7.21, there should be
a tilde
on G_{\mu\nu}. (Thanks to S. Giddings)
- p. 276 (4/4/99)*: Eq. 8.7.25, right-hand sides of both lines:
a
factor "V_{p+1}" should appear, and "k^2" should be "k^2_\perp"
(component orthogonal to the D-brane). (Thanks to M. Fabinger)
- p. 277 (12/28/04): In eq. 8.8.1, the \bar z should be z.
(Thanks to G. C. Jones)
In 8.8.2b the primes should be omitted (Thanks to G. C. Jones, G.
Calcagni)
- p. 279 (12/31/04): S. Giddings asks about the Z_2 symmetry of
fig. 8.7. Indeed, this is a subtle point of physics: the fundamental
strings must be in a Z_2 symmetric superposition, so they are in one
place _or_ the other, whereas the D-branes must be constructed from a
pair on the covering space, so they are in both places at once! This
apparent asymmetry is consistent with the string field theory
construction of D-branes as coherent states: a coherent state of a
superposition is not itself a superposition, there are of order 1/g
strings on each side.
Chapter 9:
- p. 281 (12/31/04): In the line above exercise 8.4, there
should be a hacek (inverted hat) above the "c" of "Rocek". (Thanks to
G. C. Jones)
- p. 284 (4/4/99)*: In eq. 9.1.3, the argument of the delta
function
on the right-hand side should just be "k". (Thanks to L. Motl)
- p. 288 (4/4/99)*: In eq. 9.1.24, second line (also third
line), the
factor of E_5^{-1} depends on m_5 and so should appear inside the sum
on
j_5; and, the specification on the sum that k^0_5 be on-shell is
superfluous. (Thanks to L. Motl)
- p. 289 (12/28/04): In eq. 9.1.30b, the subscript "NS" should
be "N". (Thanks to T. Kaeding, G. C. Jones)
- p. 291 (12/28/04): Last line of next-to-last paragraph, it
would be more precise to replace "the torus" with "the mapping
$\gamma$". (Thanks to G. C. Jones)
- p. 301 (12/28/04): Second line, "|q|" should be "q". (Thanks
to G. C. Jones)
- p. 302 (4/4/99)*: Five lines from the bottom, "figure 9.4(c)"
should be "figure 9.3(c)". (Thanks to M. Fabinger)
- p. 304 (4/4/99)*: In the middle paragraph, the
non-self-intersecting curve must also be nontrivial (m and n not both
vanishing). (Thanks to M. Fabinger)
- p. 308 (4/4/99)*: Fourth line "the one that" should be
"the one whose square". (Thanks to
L. Motl)
- p. 320 (4/18/99)*: In eq. 9.8.9, first line, the denominator
"n^2" should be "2n^2". (Thanks to L.
Motl)
- p. 320 (1/2/00): Three lines below eq. 9.8.9, "<
\delta\tau"
should be "< \delta\tau^{-1}". (Thanks to M. Maggiore)
- p. 320 (4/18/99)*: In eq. 9.8.10, the units don't match,
so "\approx" would be better replaced by "\sim"; or, insert appropriate
power of \alpha'. (Thanks to L. Motl)
- p. 321 (4/4/99)*: In the first line, m^2 should be
"4(h-1)/\alpha'". In eq. 9.8.11, the exponent on the RHS should be
positive. (Both thanks to L. Motl)
- p. 321 (4/4/99)*: In
the line before eq. 9.8.14, "thermal partition function of a bosonic
field" should be "free energy density of a real scalar field". (Thanks
to M. Fabinger)
- p. 322 (4/4/99)*: In eq.
9.8.16, "\tau_1" and "\tau_2" should be interchanged. In eq. 9.8.17,
"exp(\pi/12\tau_2)" should be "exp(-\pi/12\tau_2)". (Both thanks to M.
Fabinger, L. Motl) (12/31/04) The first of these was miscorrected in
later printings, the correct eq. 9.8.17 is "|\tau_1|\leq 1/2" and
"\tau_2>0". (Thanks to G.C. Jones)
- p. 322 (4/18/99)*: Annoying mistake: in the line above eq.
9.8.18,
the Hagedorn temperature should be _half_ of the self-dual value. So in
eqs. 9.8.19 and 9.8.20, "T_H^2" becomes "4 T_H^2" everywhere. (Thanks
to L. Motl)
- p. 324 (1/2/00): In eq. 9.9.5, two places, "x^1" should be
"X^1". (Thanks to M. Maggiore)
Appendix A:
- p. 331 (4/4/99)*: In eqs. A.1.11 and A.1.12, each "2\pi"
denominator should be "2\pi\hbar". (Thanks to A. Bandyopadhyay, L.
Motl)
- p. 332 (4/4/99)*: In eq. A.1.15, a "dt" should appear in each
"\int L". (Thanks to A. Bandyopadhyay)
- p. 333 (12/28/04): In the first sentence of the paragraph
midpage, the word "operator" should be omitted. (Thanks to M. Headrick)
- p. 335 (12/31/98)*: In eq. A.1.30, the sub- and super-scripts
on
[dq] are transposed, should be "[dq]_{q_i,0}^{q_f,U}". (Thanks to F.
van Buul)
- p. 342 (4/4/99)*: In eq. A.2.15, the minus sign on the
right-hand
side of the first line should be deleted. (Thanks to F.
van Buul, L. Motl)
- p. 343 (4/4/99)*: In eq. A.2.17, "d\psi_0" should be
"d\psi_1",
and an overall minus sign is needed (compare A.2.16). (Thanks to L.
Motl)
- p. 345 (12/28/04): In eq. A.2.29, the "i" superscript should
be a subscript. (Thanks to G. C. Jones)
References:
- p. 347, 355 (4/4/99)*: "Lust" should be
"L\"ust". (Thanks to F. van Buul)
- p. 347, 356 (2/1/99)*: "H. Ooguri and Y. Zin" should be "H.
Ooguri and Z. Yin." (Thanks and profuse apologies to Zheng Yin)
- p. 352 (12/30/98)*: Period omitted from initial of D. Amati.
Volume II:
`
Chapter 10:
- p. 2 (1/2/00): In the second of eq. 10.1.9, "\bar\eta(\bar z)"
should be
"\eta(z)^*". (Thanks to S. Pal)
- p. 2 (1/2/00): In all of eqs. 10.1.10, the sign of the RHS
should be
reversed (i.e. + signs in a, - in bc). (Thanks to S. Pal, J. I. Rosado
Sanchez)
- p. 5 (5/28/99)*: In eq. 10.1.21b, the first
two terms on the right should have the opposite sign, "+". (Thanks to
M. Hayakawa, L. Motl, E. Novak)
- p. 5 (12/28/04): In eq. 10.2.1, a subscript "\mu" is omitted.
(Thanks to
T. Yada)
- p. 6 (12/31/04): Four lines below eq. 10.2.4: It would be
normal to order the sectors starting from (0,0), in which case the
order should be reversed, R-R first. (Thanks to S. Giddings)
- p. 9 (5/28/99)*: In eq. 10.2.21, the exponent of "i" should
not have a minus
sign. (Thanks to L. Motl, F. Ferrari)
- p. 12 (9/24/01): Second of eq. 10.3.11, argument "z" should be
"\bar z".
(Thanks to J. I. Rosado Sanchez, S. Pal, G. C. Jones)
- p. 12 (12/28/04): Line after eq. 10.3.11, "integral" -->
"integer".
(Thanks to T. Yada)
- p. 12 (12/28/04): Regarding eq. 10.3.12, F. Ferrari raises an
interesting point: since we have already used the fact that \psi and
e^{iH} have the same conformal transformations, doesn't this already
imply that the energy-momentum tensors are equal? Yes, it does seem so,
though 10.3.12 is perhaps more direct.
- p. 18 (5/28/99)*: In eq. 10.4.15, the "2" in the denominator
should
be deleted. (Thanks to M. Hayakawa, L. Motl)
- p. 19 (5/28/99)*: Three lines below eq. 10.4.26,
"is proportional to" should be "has the phase of". (Thanks to
L. Motl)
- p. 21 (12/28/04): In the third equation of 10.5.11, "\lambda"
should multiply k^\mu. (Thanks to G. C. Jones)
- p. 22 (5/28/99)*: Three lines above eq. 10.5.15, "k^0 = k^1"
should be
"k_0 = k_1". In eq. 10.5.15, "+1" should be "-1" in the middle and the
right side should have an overall "-". (Thanks to
L. Motl)
- p. 26 (12/30/04): The signs in the exponent of 10.6.4 may
cause unnecessary confusion. In fact they are completely irrelevant for
integer F and \alpha. They are included for an obscure stylistic
reason: with them, the formula extends to noninteger F and \alpha, as
one can see by writing all vertex operators in bosonized form. (Thanks
to G. Calcagni for the question)
- p. 31 (12/28/04): In the first line of section 10.7, "next
chapter" should be "chapter 12". (Thanks to G. C. Jones)
- p. 32 (12/28/04): In the second line of eq. 10.7.3, the
"\eta(q)" should be "\eta(\tau)". (Thanks to D. Shih)
- p. 34 (5/28/99)*: In eqs. 10.7.11 to 10.7.13, change the signs
of all
exponents (five places: they become respectively ----+). (Thanks to L.
Motl, S. Chaudhuri)
- p. 37 (5/28/99)*: In eqs. 10.7.22, the shift should be
multiplied by
"2\pi". (Thanks to L. Motl)
- p. 40 (5/28/99)*: In line 3, the equation
should be "s = \pi/t, \pi/4t, \pi/2t". (Thanks to S. P. de Alwis, L.
Motl)
Chapter 11:
- p. 50 (5/28/99)*: In eq. 11.2.5c, "\partial" should be
"\bar\partial". (Thanks to S. Berger, L. Motl)
- p. 50 (5/28/99)*: Near mid-page, "(1,0) SCFT" should be "(0,1)
SCFT". (Thanks to L. Motl)
- p. 52, 55, 59 (5/28/99)*: Two lines below eq. 11.2.16, "spin"
should be a
subscript on SO(8). Also above 11.2.28, and line 4 of page 59. (Thanks
to
L. Motl)
- p. 54 (12/28/04): Line after the paragraph break midpage,
"spin" should be a subscript. (Thanks to G. Calcagni)
- p. 55 (5/28/99)*: In eq. 11.3.1, the overall "1/4" should be
"1/2"
(just a single projection). (Thanks to L. Motl)
- p. 56 (5/28/99)*: Second line of last full paragraph, "SO(32)"
should be in math
mode. (Thanks to L. Motl)
- p. 56 G. Calcagni asks how we can see that the projection
e^{\pi i \tilde F} = 1 is _necessary_ for supersymmetry. The answer is
that this is the condition for all vertex operators to be local with
respect to the gravitino vertex operator.
- p. 57 (12/28/04): In eqs. 11.3.7 and 11.3.8 the sum runs only
over commuting h_1 and h_2. (Thanks to G. Moore)
- p. 60 (5/28/99)*: At the beginning of the first full
paragraph, the definition of a simple Lie algebra is wrongly stated:
"closed
subalgebra" should be "invariant subalgebra" or "ideal". (Thanks to
L. Motl)
- p. 66 (5/28/99)*: In eq. 11.5.8, the RHS should have a "-"
sign. (Thanks
to L. Motl)
- p. 67 (1/2/00): In the first of eq. 11.5.11, the RHS should
have a
\pm sign. (Thanks to E. Scheidegger, P.-J. De Smet)
- p. 68 (12/28/04): In eq. 11.5.17, the factor of "i" should be
omitted. (Thanks
to J. Rocha)
- p. 71 (5/28/99)*: In eq. 11.5.30, a "\partial" is missing in
the last term of the second line. (Thanks to L. Motl)
- p. 73 (5/28/99)*: In eq. 11.5.44, "J^3" should be "|J^3|".
(Thanks to L.
Motl)
- p. 73 (12/28/04): In the fourth line of section 11.6, there
should be a tilde on \psi^\mu.
(Thanks to G. Jones)
- p. 78 (5/28/99)*: Three lines below eq. 11.6.19,
"antisymmetric"
should be "antiperiodic". (Thanks to L. Motl)
- p. 80 (5/28/99)*: In eq. 11.6.28, a term "- (1/2) q^I q^I" is
needed at
the end. (Thanks to L. Motl)
- p. 81 (5/28/99)*: In the seventh line from the bottom,
"U(1)^{22}"
should be "U(1)^{28}". (Thanks to L. Motl)
- p. 83 (6/26/99): In exercise 11.9, "SO(22)" should be
"SO(44)",
and "SO(6)" should be "SO(12)". (Thanks to P.-J. De Smet)
Chapter 12:
- p. 85 (5/28/99)*: Last line of first full paragraph, "SO(9)
spinor"
should be "SO(9) vector-spinor gravitino". (Thanks to L. Motl)
- p. 86 (5/28/99)*: One line below eq. 12.1.4, "coordinate
radius" should
be "coordinate periodicity". (Thanks to L. Motl)
- p. 86 (5/28/99)*: Two lines below eq. 12.1.4, the sentence
"To keep ..." should be deleted (the forms have not been rescaled;
don't
ask me where this sentence came from). (Thanks to L.
Motl, M. Maggiore)
- p. 86,88,89,92,94,99 (5/28/99)*: Two lines above eq. 12.1.8,
the gauge
parameter "\chi" should be "\lambda" (twice). Also in eq. 12.1.13
(twice),
the line below line 12.1.20, the line below line 12.1.38, the last
line of p. 94, and three lines below eq. 12.2.15. (Thanks to L. Motl,
F.
Ferrari, D. Marolf)
- p. 87 (5/28/99)*: One line above eq. 12.1.11, "e^{-\Phi}"
should be "e^{-2\Phi}". (Thanks to L. Motl)
- p. 88 (1/2/00): In the line below eq. 12.1.12, the indices on
F and C
should be reversed: "F_4" and "C_3". (Thanks to C. Herzog)
- p. 89 (5/28/99)*: In eq. 12.1.23, "F_{10}" should be
"*F_{10}". (Thanks to L. Motl)
- p. 90,91 (5/28/99)*: In line 2 of the section "Type IIB
Superstring", "H_5" should be "F_5" (twice). Also in line 1 of the next
page. (Thanks to B. Jurco, F. Ferrari)
- p. 91 (12/6/98)*: In eq. 12.1.31, the final term on the first
line, "1/2 |F_1|^2", should be deleted, as it has been absorbed into
the \tau
kinetic term. (Thanks to M. Sakaguchi) The "|\tilde F_5|^2" term and
the
final Chern-Simons term should each be divided by a further factor of 2
(4 and 8 in respective denoms.).
(Thanks to L. Motl)
- p. 92 (5/28/99)*: In eq. 12.1.34b, |\tilde F_3|^2 should not
be
multiplied by e^{-2\Phi}. (Thanks to B. Jurco, H. Nakano)
- p. 92 (5/28/99)*: In eq. 12.1.34c, "d^{10}x (-G)^{1/2}" is
missing. (Thanks to L. Motl, F. Ferrari)
- p. 92 (5/28/99)*: In eq. 12.1.36, the cubic term should be
multiplied
by "-i", for Hermiticity. (Thanks to L. Motl)
- p. 92,93 (5/28/99)*: In eq. 12.1.37, "F_2" should be "dA_1".
Also in eq. 12.1.38 and 12.1.40. (Thanks to R. Stora)
- p. 93 (5/28/99)*: In eq. 12.1.39, the sign of the gauge field
kinetic term should be "-", and "|F_2^2|" should be "|F_2|^2" (Thanks
to H.
Nakano, F. Ferrari)
- p. 95 (1/2/00): In eq. 12.2.3 and 12.2.4, the RHS should be
multiplied
by -2. Also the last term in the first line of 12.2.5. (So coefs are
2\pi, -2\pi, 2\pi).
(Thanks to C. Herzog)
- p. 95 (5/28/99)*: In eq. 12.2.5, first line, delete
"\delta". (Thanks to L. Motl, M. Fabinger)
- p. 97 (5/28/99)*: Period missing at end of third line. (Thanks
to L. Motl)
- p. 97 (5/28/99)*: In eqs. 12.2.11, 12.2.12, and 12.2.13, the
sign is wrong on each "tr(R_2^4) tr(R_2^2)" term (should be ++-).
(Thanks to L. Motl)
- p. 98 (12/28/04): In the third line below the "Type I ..."
heading, "8'" should be "8". (Thanks to O. Aharony)
- p. 99,100 (5/28/99)*: In eq. 12.2.16 and the line above, and
eqs. 12.2.17a and 12.2.25c, "Tr(\lambda F_2)" should be "Tr(\lambda
dA_1)".
In eqs. 12.2.24 and 12.2.25c, "Tr(\Theta R_2)" should be
"Tr(\Theta d\omega_1)". (Thanks to R. Stora)
- p. 99 (12/28/04): In eq. 12.2.17a, "A" should be "A_1".
(Thanks to G. Calcagni)
- p. 100 (5/28/99)*: Line below eq. 12.2.22, a "-i" is
missing in the "A_1^3" term. (Thanks to L. Motl) Note that the Lorentz
Chern-Simons term 12.2.23 is correct as it stands, due to the differing
convention that A_1 is Hermitean while \omega_1 is real.
- p. 101 (5/28/99)*: In eq. 12.2.27, the coefficient of
"(n-496)" should be the same as the coefficient of "n" in eq. 12.2.11.
Also, the last term should be "+ Y_4 X_8 / 768". In eq. 12.2.28a, the
final term needs an additional factor "1/30". Eq. 12.2.29 should be +
Y_4
X_8 /768". (Many thanks to L. Motl for finding and tracking down all of
these errors. I apologize that this page is so incredibly shoddy. I
thought
that I had checked it twice, but I suppose that this is one of those
breakdowns that occurs on a project of this size.)
- p. 102 (5/28/99)*: In line 12, "Both vertices in figure
12.1(a)"
should refer to "12.1(b)". (Thanks to L. Motl)
- p. 104 (5/28/99)*: In eq. 12.3.12, the leading "i" on the RHS
should be
a "-". In eq. 12.3.14, "-\eta \partial \CO" should be "+\eta \partial
\CO".
(Thanks to L. Motl)
- p. 104 (5/28/99)*: In eq. 12.3.15b, the inequality should be
"r \geq 3/2". (Thanks to B. Jurco)
- p. 105 (1/2/00): In the fifth line, the factor of 1/2 in
\delta\theta
should be deleted. (Thanks to M. Maggiore)
- p. 105 (5/28/99)*: Two lines below eq. 12.3.19, "(\alpha'/2)"
should be
"(2/\alpha')", so that one replaces a dimensionless X with a
dimensionless
ratio. (Thanks to L. Motl)
- p. 107 (12/28/04): In eq. 12.3.30, the four-fermion term
should have coefficient "i/2" instead of "1/2". Note the definition
F_{\rho\sigma} = i [ \partial_\rho - i A_\rho ,
\partial_\sigma - i A_\sigma ]. (Thanks to M. Spradlin, D. Shih)
- p. 107 (5/28/99)*: In the last term of eq. 12.3.31a,
"\partial_{\bar\theta}" should be "D_{\bar\theta}". (Thanks to B.
Jurco)
- p. 109 (12/28/04): In eq. 12.3.45a a factor e^{-\phi} is
missing.
In eq. 12.3.46a a factor e^{-\tilde\phi} is missing. (Thanks to H.-U.
Yee, G. Calcagni, G. C. Jones)
- p. 112,113 (5/28/99)*: In eq. 12.4.10, delete the second comma
in the
trace. Also in eq. 12.4.13. (Thanks to M Fabinger)
- p. 114 (12/28/04): In eq. 12.4.17, the last subscript should
be "delta". (Thanks to R. Holman, I. Low, G. C. Jones)
- p. 115 (12/28/04): In eq. 12.4.21, "dx_2" should be "dx".
(Thanks to S. Gubser)
- p. 115 (12/28/04): In eq. 12.4.21, the Chan-Paton matrices
should just be ordered t^{a_1}t^{a_2}t^{a_3}t^{a_4}. (Thanks to G. C.
Jones)
- p. 117 (5/28/99)*:
Three lines below eq. 12.4.35, "the three terms of order z_1^{-1}"
should
read "the three asymptotics of order z_1^{-1}". (Thanks to R. A.
McNees)
- p. 119 (12/28/04):
In eq. 12.5.8 the two arguments `z' should be `0'. (Thanks to B.
Gripaos)
- p. 123 (12/28/04): First line "there are no" should be "there
is just one". Next to last line of same page, the exponent "2g + n"
should be "2g + n - 1" for n \geq 1.
(Thanks to G. C. Jones)
- p. 124 (5/28/99)*: In eq. 12.5.25, the arguments of B should
be
"(z_m,\theta_m)". (Thanks to B. Jurco) In the expression in [ ] the
sign on the second term should be "-"; the [ ] then transforms as a
(-1,0)
superfield.
- p. 125 (5/28/99): The ghost insertion is twice eq. 12.5.28.
(Thanks to
B. Jurco) This disturbs me a bit because the original incorrect
equation
gave the PCO with standard normalization. Presumably this can be
absorbed
elsewhere, though I am not sure where best to put it. (12/28/04) Also,
the argument of \beta is "z_1" not "z".
Chapter 13:
- p. 144 (9/24/01): In the line below eqs. 13.2.9, "right" and
"left" are
transposed. (Thanks S. Pal, G. Calcagni)
- p. 147 (5/28/99)*: In the line above eq. 13.3.6, "i/k^2"
should be
"2\kappa_{10}^2 i/k^2". A factor of "2\kappa_{10}^2" should also be
inserted
into eq. 13.3.6. In eq. 13.3.7, "\Phi" should be "\Phi_0", and "=
T_p^2" should be added at the right.
- p. 148-9 In eqs. 13.3.12 and 13.3.13, the RHS should be "\pi n
/ (\kappa_{10}^2) ". (Thanks to B. Jurco, L. Motl, M. Maggiore, J.
Maldacena, J. Rocha, J. Shelton, G. Moore) The original corrections
(which appear in the *'d editions) were incorrect: \kappa_{10} was
incorrectly given as \kappa_0, and in eqs. 13.3.12 and 13.3.13, the RHS
was corrected by the wrong (reciprocal) factor.
- p. 149 (5/28/99)*: In eq. 13.3.16, on the LHS
"C_1" should be "C_2". In the center and on the RHS, and in eq.
13.3.17, there
should be a dx^0, and each form should also have a zero-index,
"C_{...}"
becoming "C_{0...}". (Thanks to L. Motl)
- p. 149 (9/24/01): In eq. 13.3.17, there should be an
additional "dx^2". (Thanks to A. Nicolis)
- p. 150 (5/28/99)*: In eq. 13.3.23, the exponent "(14-p)/2"
should be "(7-2p)/2". (Thanks to L. Motl) (1/2/00): In the third
printing, the
corrected exponent is incorrectly given as "(7-2_p)/2".
- p. 151 (5/28/99)*: In eq. 13.3.29, 13.3.30, and the line
below, the lower-dimensional theory is (10-k)-dimensional and so "9-k"
should
be "10-k" (five places). However, in eq. 13.3.30, "g^2_{9-k,SO(32)}" is
the
coupling on a D(9-k)-brane and so the notation should be
"g^2_{D(9-k),SO(32)}".
(Thanks to L. Motl)
- p. 151 (12/28/04): In the line above eq. 13.3.30,
"D(p-k)-brane" should be "D(9-k)-brane". (Thanks to M. Headrick, G. C.
Jones)
- p. 153 (12/28/04): Two lines below eq. 13.4.7, the argument
"2\pi - w" should be "2\pi - \bar w". (Thanks to A. Basu)
- p. 155 (12/28/04): In eqs. 13.4.13a and 13.4.13b, the "1" on
sigma should be a superscript. (Thanks to G. C. Jones)
- p. 155 (12/29/04): In eq. 13.4.13b, "\exp(i\phi_a)" should be
"\exp(-i\phi_a)" in two places. (Thanks to P. Creminelli)
- p. 156 (5/28/99)*: The first line after eq. 13.4.16
should read "with q=\exp(-2\pi t), 0 < \phi < \pi (else subtract
the
integer part of \phi/pi), and"
- p. 157 (5/28/99)*: In the first line, "\exp(2i\phi'_a)"
should be "\exp(\pm i\phi'_a)". (Thanks to L. Motl). Also, for clarity,
in
the next line "the {\bf 8}" should be "the spinor {\bf 8}".
- p. 157 (5/28/99): In eq. 13.4.24, there is also a divergence
for the antiparallel case, \phi_a = \pi. In this case eq. 13.4.24 holds
with an additional factor of "e^{-\pi t}". (Thanks to S. P. de Alwis)
- p. 157 (5/28/99)*: In eq. 13.4.24, the "i" on the LHS should
be moved to
the RHS.
- p. 157 (1/3/05): In eq. 13.4.25, the RHS should be multiplied
by "i". (Thanks to M. Headrick)
- p. 158 (5/28/99)*: In eq. 13.4.27, the second term on the
right
should be "-\phi_1 / 2\pi\alpha'". (Thanks to S. P. de Alwis)
(1/2/00): Therefore, four lines below, "8\pi^2" should be "2\pi^2".
(Thanks to P.-J. De Smet)
- p. 159 (5/28/99)*: In the first line, insert "with u > 0"
at the end of
the sentence.
- p. 159 (5/28/99)*: In eqs. 13.5.2, 13.5.3, and 13.5.5, "y_1^2"
should
be generalized to "y^2". (Thanks to B. Jurco)
- p. 160 (5/28/99)*: In eq. 13.5.7, first line, "2V_p" should be
"V_p". (Thanks to L. Motl)
- p. 160 (1/2/00): In eq. 13.5.8, first line, "V_{p+1}" should
be "V_p". (Thanks to S. Chaudhuri)
- p. 162 (5/28/99)*: In eq. 13.5.16, "(2\pi\alpha')^{1/2}"
should be
"\alpha'^{1/2}". (Thanks to L. Motl)
- p. 163 (12/28/04): In eq. 13.5.21, "S" on the LHS should be
bold.
(Thanks to G. C. Jones)
- p. 165 (5/28/99)*: In eq. 13.6.7, "T_p" should be
"T_1". Also, "\det^{1/2}" should be "(-\det)^{1/2}" (Thanks to B.
Jurco,
L. Motl)
- p. 167 (5/28/99)*: In eq. 13.6.14, delete the first comma in
the
trace. Also two lines above. (Thanks to M. Fabinger)
- p. 168 (12/28/04): In eq. 13.6.15, there is a spinor matrix
multiplication between Z, Z^\dagger and \Gamma^0. (Thanks to G. C.
Jones)
- p. 168 (9/24/01): In eq. 13.6.17b, the second term on the RHS
needs an
extra factor of "tau_0". (Thanks to S. Pal)
- p. 170 (5/28/99)*: In eq.
13.6.23, "\mu_3" should be "\mu_2". Also two lines below, and "\mu_1"
should
be "\mu_0" there. (Thanks to L. Motl)
p. 172 (12/28/04): In eq. 13.6.25, the (2\pi\alpha') in the
denominator should be squared. (Thanks to G. C. Jones)
p. 173 (12/28/04): In eq. 13.6.34, "\bar 4" should be " 4^\prime "
(the spinors are self-conjugate). (Thanks to G. C. Jones)
Chapter 14:
- p. 181 (1/2/00): In the paragraph below midpage, second line,
"heterotic string" should be "F-string" (i.e. type IIB). (Thanks to M.
Maggiore)
- p. 182 (5/28/99)*: In eq. 14.1.9, "l_0^4" should be
"l_0^{-4}" (twice). (Thanks to L. Motl)
- p. 188 (5/28/99)*: A few lines past mid-page, "the 3-form
B_{\mu\nu\rho}" should be "the 2-form B_{\mu\nu}". (Thanks to B. Jurco)
- p. 191 (12/30/04): In eq. 14.3.3, the "2" in the exponent
should be deleted. (Thanks to R. Sturani, G. C. Jones)
- p. 193 (12/28/04): Line above eq. 14.3.7, "heterotic" should
be "type I". (Thanks to J. Rocha)
- p. 199 (12/28/04): Line below eq. 14.7.7, "be be" should be
"be". (Thanks to J. Rocha)
- p. 201 (5/28/99)*: In the fourth line of section "IIA
branes...", "B_{\mu\nu\rho}" should be "A_{\mu\nu\rho}". Similarly in
third line of
subsection "1-branes" and in third line of subsection "2-branes". In
second line of subsection "2-branes", "B_{\mu\nu\rho}" should be
"C_{\mu\nu\rho}". (Thanks to L. Motl)
- p. 202 (5/28/99)*: In eq. 14.4.14, the exponent "-1/2"
should be "1/2". (Thanks to B. Jurco)
- p. 202 (1/2/00): In the section "5-branes," third line,
"IIA" should be "IIB". (Thanks to T. Azuma)
- p. 207 (5/28/99)*: In the third line, "M-theory on S_1/Z_2"
should be
"M-theory on S_1 \times S_1/Z_2". Five lines below eq. 14.5.5, the
clause
"which is the transform of the original 9-direction" is confusing and
unnecessary. (Thanks to M. Fabinger)
- p. 212 (5/28/99)*: In the second line of the first full
paragraph, "M_{11}^{-1}" should
be "M_{11}". (Thanks to M. Fabinger)
- p. 214 (5/28/99)*: In eq. 14.7.8, the LHS should be "L_{eff} =
-
V(r,v)" (Thanks to L. Motl) (1/3/05): The subscript "eff" should be
roman (Thanks to G. C. Jones)
- p. 215 (5/28/99)*: In eqs. 14.7.11
and 14.7.12, the summation range should be more symmetric, e.g. [1-n/2]
to
[n/2] with [ ]=integer part, in order to keep small negative r and s.
In
eq. 14.7.13, "i/n" should be "2\pi i/n" and the remainder should be
"O(n^{-2})" (twice each). In eq. 14.7.14, the right-hand side should be
divided by (2\pi)^2. In eq. 14.7.15, the first term should be divided
by
(2\pi)^2 and the third by 2\pi. (Thanks to L. Motl, B. Jurco)
- p. 216 (5/28/99)*: Fourth line of first full paragraph,
"world-sheet" should be
"world-volume". (Thanks to L. Motl)
- p. 217 (5/28/99)*: Line below eq. 14.7.20, the invariant
length is
"+O(\epsilon^2)". (Thanks to L. Motl)
- p. 218 (5/28/99)*: In line ten, "\tau_{M2} A = 4\pi^2 R_m
R_{10}" should be "\tau_{M2} A = M_{11}^3
R_m R_{10}". (Thanks to L. Motl, M. Fabinger)
- p. 218 (12/30/04): On the RHS of eq. 14.7.25, delete the
"/2\pi". (Thanks to G. C. Jones)
- p. 219 (12/30/04): In eq. 14.8.1b, there should be a factor of
"g^2" on the RHS. Also, the D5 solution 14.8.2 and the NS5 solution
14.1.15 are not directly S-dual, one must also make a coordinate
transformation. (Thanks to M. Headrick) Comparison between these is
also made inconvenient by the fact that in the D5 solution 14.8.2, Q is
quantized in integer units, while in the NS5 solution 14.1.15, it is
quantized in units of "Q_0", which is not even dimensionless --- in
fact $Q_0 = (4\pi\alpha')^{1/2}$ (I think).
- p. 225 (5/28/99)*: Two lines below eq. 14.8.23, "=" should be
"\approx". (Thanks to L. Motl)
- p. 227 (5/28/99)*: In the last
line of exercise 14.8, "times G_N" should be "divided by G_N". Also, in
the
spirit of the correspondence principle, the numerical constant is
omitted. (Thanks to L. Motl, R. Portugues)
Chapter 15:
- p. 230 (5/28/99)*: In eq. 15.1.9, "r_+" should be "h_+" and
"r_-"
should be "h_-". (Thanks to N. Itzhaki, B. Jurco)
- p. 236 (5/28/99)*: In eq. 15.2.15, "q^h" should be "q^{h +
(1-c)/24}". (Thanks to L. Motl)
- p. 239 (5/28/99)*: Five lines above eq. 15.3.14, "all
conformal theories"
should be "all conformal families". (Thanks to L. Motl)
- p. 244 (1/2/00): In eq. 15.4.9, the plus sign after the
derivative
should be a minus sign. (Thanks to P.-J. De Smet)
- p. 248 (1/2/00): In
eq. 15.4.34, second equation (for r^2), "n" should be "|n|". (Thanks to
P.-J.
De Smet)
- p. 250 (12/30/04): In lines two and three, "Z(2)" should be
"Z_2". (Thanks to J. Crotin)
- p. 252 (12/30/04): In line two of the last paragraph, "other
any" should be "any other". (Thanks to J. Crotin)
- p. 254 (1/2/00): Below eq. 15.6.2, r-s should be even in the
NS sector and odd in the R sector (as a check, h=0 then appears in the
NS
sector). The same restriction applies to eq. 15.6.6. (Thanks to P.-J.
De
Smet)
- p. 261 (12/30/04): In eq. 15.8.6, an "\epsilon^{-1}" is
missing on the LHS.
In eq. 15.8.8, "d^d x" should be "d^d \sigma". (Thanks to G. Calcagni)
- p. 262 (5/28/99)*: In eq. 15.8.11, the dot denotes
differentiation with respect to \ln r^2 (not r^2). (Thanks to N.
Itzhaki)
- p. 265 (12/30/04): Eqs. 15.8.31ab are correct, but would be
more transparent if U were defined as a function of "\lambda" rather
than "g". (Thanks to G. Calcagni)
Chapter 16:
- p. 275 (5/28/99)*: In eq. 16.1.1, "v^n" should be "v^m".
(Thanks to L. Motl)
- p. 277 (5/28/99)*: In eq. 16.1.17, "\exp(i\beta_1)" should be
"\exp(2\pi i\beta_1)" and "\exp i(\beta_{16})" should be "\exp
(2\pi i\beta_{16})". (Thanks to L. Motl)
- p. 283 (5/28/99)*: In eq. 16.2.5, "\exp(i s \cdot \phi)"
should be
"\exp(2\pi i s \cdot \phi)". (Thanks to L. Motl)
- p. 285 (12/30/04): Above eq. 16.3.5 "h(r,1;\gamma)" should be
"h(r,0;\gamma)".
(Thanks to J. Crotin)
- p. 285 (1/2/00): In all of eqs. 16.3.5, "|0>"
should be "|a>". (Thanks to T. Azuma)
- p. 287 (1/2/00): In the next-to-last line, delete the
superscript plus/minus on \lambda. (Thanks to P.-J. De Smet)
- p. 290 (5/28/99)*: In table 16.1, line (i), the gauge group
should be
"E_6 \times SU(3) \times E_8". (Thanks to L. Motl)
- p. 293 (5/28/99)*: In eq. 16.4.2, the cubic term should have a
"-i". (Thanks to L. Motl)
- p. 294 (12/30/04): Eq. 16.4.15 is correct, but it should be
noted that to get there we have made a redefinition relative to eq.
16.4.10: now T = G + B + 1/2 \alpha' A A^* (Thanks to K.-S. Choi)
- p. 297 (1/2/00): In eq. 16.4.30, two subscripts "j" should be
"i".
(Thanks to T. Azuma)
Chapter 17:
- p. 317 (12/30/04): Third line of last paragraph, "basic"
should be "basis". (Thanks to G. C. Jones)
- p. 319 (12/30/04): In eq. 17.4.20, the second "a" index on
each line should be "b". (Thanks to G. C. Jones, M. Spradlin)
- p. 322 (12/30/04): Line above 17.5.2, "h_{1,1}" should be
'h^{1,1}". (Thanks to G. C. Jones)
Chapter 18:
- p. 333 (5/28/99)*: In the line above eq. 18.1.13, "neutron
electron
dipole moment" should be "neutron electric dipole moment". (Thanks to
L.
Motl)
- p. 336 (1/2/05): In eq. 18.2.5, the numerator on the RHS
should be "2\kappa^2". (Thanks to M. Thormeier)
- p. 344 (1/2/05): In eq. 18.3.1, on the RHS "k" be "\hat k".
Four lines below, "k=1" should be "\hat k = 1/2", and "1.2 x 10^{18}
GeV" should be "8.5 x 10^{17} GeV".
(Thanks to M. Thormeier)
- p. 350 (1/2/00): In the next-to-last line, "supersymmetry"
should be
"superpartner". (Thanks to T. Azuma)
- p. 374 (1/2/00): In exercise 18.3, "section 18.6" should be
"section
18.5". (Thanks to T. Azuma)
Chapter 19:
- p. 392 (1/2/00): In eq. 19.4.12, two places, "=" should be
"\to".
- p. 397 (5/28/99)*: In eq. 19.5.16, the product is semidirect,
as
the S_5 permutes the Z_5's. (Thanks to L. Motl)
- p. 399 (9/24/01). In eq. 19.5.23, |\partial G\over \partial
{\phi_i}| in
the second term and (r+5|p|^2-\sum^5_{i=1}|\phi_i|^2) the third term of
the
potential have to be squared. (Thanks to S. Nam, J. Park)
- p. 403 (1/2/00): In eq. 19.6.5, "\alpha^s z_5" should be
"\alpha^{-t}
z_5". (Thanks to T. Azuma)
- p. 405 (5/28/99)*: In eq. 19.6.7, the coefficient of the final
term should be "-5\psi". (Thanks to L. Motl)
- p. 414 (1/2/00): In the last full paragraph, second line,
"IIB"
should be "IIA". (Thanks to T. Azuma)
- p. 417 (5/28/99)*: In eq. 19.8.8, the center and right should
each have
a factor "i". (Thanks to L. Motl)
- p. 421 (5/28/99)*: In line seven, M5 should be in roman.
(Thanks to
L. Motl)
- p. 422 (5/28/99)*: In the line below eq. 19.9.3, "R_m" should
be "(2\pi
R_m)". (Thanks to L. Motl)
- p. 423 (9/24/01): In eq. 19.9.5b, "R_h^{-1}" should be
"R_{mh}^{-1}". (Thanks to T. Damour)
- p. 424 (5/28/99)*: In eq. 19.9.12a, "R'_9" should
be "R''_9". In eq. 19.9.12b, "R_{9B'}" should be "R''_9". In eq.
19.9.12c, "R_{mB'}" should be "R''_m". (Thanks to L.
Motl) Also in eqs. 19.9.12, "=" should be "\propto" in six places.
- p. 425 (5/28/99)*: Above mid-page, third line of paragraph,
the clause
"only the ... surviving" is confusing and unnecessary.
(Thanks to L. Motl)
- p. 427 (5/28/99)*: In eq. 19.9.20, "=" should be "\propto".
(Thanks to
L. Motl)
- p. 427 (12/31/04): In several places from eq. 19.9.20 to the
line after 19.9.24, the 5 and 6 directions should be the 4 and 5
directions for consistency with the usual conventions. (Thanks to E.
Scheidegger)
- p. 428 (5/28/99)*: In the
first line, "T^4" should be "T^6". (Thanks to L. Motl)
- p. 428 (5/28/99)*: In eq. 19.9.25, a factor "U(1)" should
appear in the
first denominator. (Thanks to L. Motl)
- p. 428 (5/28/99)*: Also in eq. 19.9.25, the notation is
improper. It
should indicate that the continuous groups in the denominator act on
the
left and the discrete on the right. I am afraid that I erred in
choosing
to adopt a compact but inexplicit notation. The same notation was used
in
eqs. 8.4.31 and 11.6.14, but with explanation. (Thanks to
L. Motl)
Appendix B:
- p. 433 (12/31/04): The sentence after eq. B.1.21 is slightly
ambiguous, to be precise "0" should be "0 (mod 4)" in two places. In
the following sentence it should definitely be "0 (mod 4)". (Thanks to
W. Polkosnik)
(Thanks to A. Pakman, M. Headrick)
- p. 434 (12/31/04): In eq. B.1.23, "B" should be "B*". (Thanks
to A. Pakman, M. Headrick)
- p. 435 (1/2/05): In eq. B.1.34, the exponent "s(s+1)" should
be "s(s-1)". Also, I should note the convention \epsilon^{012...} = +1.
(Thanks to W. Polkosnik)
- p. 438 (12/31/04): In the line below eq. B.1.46, "U(n)" should
be "U(1)". (Thanks to G. C. Jones, Z. Komargodski)
- p. 440 (5/28/99)*: In the line above eq. B.2.2, "k^0 = k^1"
should be
"k_0 = k_1". (Thanks to M. Maggiore)
- p. 442 (12/31/04): In the third text line from the bottom, "a
complex auxiliary field" should just ba "an auxiliary field". (Thanks
to M. Headrick)
- p. 447,448 (5/28/99)*: In eq. B.2.35, the anticommutator of P
and Q
should be a commutator. Also in eq. B.2.36b. (Thanks to F.
Ferrari, M. Fabinger)
- p. 449 (5/28/99)*: Two lines below eq. B.2.38, "m \pm q_i"
should be
"2(m \pm q_i)". (Thanks to M. Fabinger). Also, in the line above eq.
B.2.38, "the Z^{AB}" should be "the charges Z^{AB}".
- p. 450 (5/28/99)*: Two lines
below eq. B.4.1, "perturbations" should be "permutations". (Thanks to
L.
Motl)
- p. 450 (12/31/04)*: Actually, the whole phrase "with a \pm 1
for odd or even permutations" is clumsy, better "with a -1 for odd
permutations". (Thanks to G.C. Jones)
- p. 450 (5/28/99)*: Above eq. B.4.6, "Poincare dual" should
more properly be "Hodge star," or simply "dual" as in Misner, Thorne,
and
Wheeler. "Poincare duality" as used properly is a map between homology
classes and cohomology classes. However, the imprecise usage here seems
to
be common (e.g. GSW, vol. 2, p. 295). (Thanks to B. McKay)
- p. 451 (5/28/99)*: In eq. B.4.10, multiply all non-Abelian
terms
by "-i". Thus it should read "F_2 = dA_1 - i A_1 \wedge A_1 \equiv dA_1
- i
A_1^2 ,
\delta A_1 = d\lambda - i A_1 \lambda +i \lambda A_1".
(Thanks to L. Motl)
- p. 452 (5/28/99)*: In eq. B.4.17, the right-hand side should
simply be
zero, as it is the square of an odd-rank form. (Thanks to L. Motl)
- p. 455 (5/28/99)*: In table B.3, on line d=4, "SU(8,R)" should
just be
"SU(8)". On line d=5, "Sp(4,R)" would be less ambiguous as "USp(8)",
with
an associated comment in line 13 of page 456 deleted. (Thanks to L.
Motl)
- p. 456 (5/28/99)*: In going from eq. B.5.9 to eq. B.5.12, the
matrix
\Gamma_{(4)} has been removed by a chirality rotation of Q.
(Thanks to L. Motl)
- p. 460 (1/2/00): In eq. B.6.16c, "\phi_n" should be "A_n".
(Thanks to M. Maggiore)
- p. 466 (12/31/04): In exercise B.1, the last two properties
(B.1.25) and (B.1.27) should be (B.1.26) and (B.1.28). (Thanks to J.
Shelton)
History and Bibliography:
- p. 470 (10/10/06): Add to history, ch. 14 paragraph 3: A
program to quantize supersymmetric membranes began in 1987. These
apparently have no sensible continuum quantization --- the world-sheet
theory is nonrenormalizable --- but this led to the discovery that a
regulated M2-brane could be described by supersymmetric quantum
mechanics; see Nicolai & Helling (1998) for a review. This
equivalence was interpreted by Banks, Fischler, Shenker, & Susskind
(1997) in terms of the matrix theory construction of M theory.
Nicolai, H. & Helling, R. (1998).
Supermembranes and M(atrix) theory.
E-print hep-th/9809103.
- p. 471, 473 (12/31/04): Three lines from the bottom on p. 471,
and two lines from the top on p. 473, the accent on the "a" of "Ibanez"
is wrong. (Thanks to G. C. Jones)
Glossary (both volumes):
- p. 373/502 (4/4/99)*: In Glossary item K\"ahler form,
"Hermitean" should be "K\"ahler". One can define this form for a
Hermitean metric, but it is called a "K\"ahler form" only when the
metric is K\"ahler. (Thanks to T. H\"ubsch)
- p. 376/505 (12/31/04): In
Glossary item Neveu-Schwarz 5-brane, "type I and" should be
omitted (the type I theory has no NS-NS 2-form. (Thanks to L. Motl)
- p. 377/506 (12/31/04): In
Glossary item orbifold, in the last line "second" should be
"third".
(Thanks to T. M. Sorenson)
- p. 378/507 (12/6/98)*: In
Glossary item parity transformation, "distinugishes" should be
"distinguishes".
- p. 381/510 (12/6/98)*: In Glossary item Riemann
surfaces, "dimensionsional" should be "dimensional".
- p. 388 (12/28/04): In Glossary item zero modes,
"nodes" should be "modes". (Thanks to J. Reuter)
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