String Theory and M-Theory

211, 214, 234, 244, 271, 329, 330, 333,
337, 339
toroidal, 265, 266, 268, 270, 274, 275, 278,
280, 287, 288, 291, 340, 345, 397
type IIA superstring
on a Calabi–Yau three-fold, 400, 402
on K3, 424–426
type IIB superstring
on a Calabi–Yau three-fold, 400, 402, 403,
408, 498, 502
on K3, 426, 454
with flux, 480
warped, 355, 456
with branes, 376
with flux, 13, 458
complex geometry, 449
complex projective space, 369, 453
Fubini–Study metric, 369
Kähler potential, 369
complex structure, 90, 448, 513
deformations, 370, 388, 391
moduli, 590
moduli space, 391, 589
Kähler potential, 391, 397
prepotential, 393
complexified Kähler form, 390, 401
confinement, 611, 663
of N = 1 gauge theory, 675
conformal anomaly, 7, 49, 62, 66
cancellation, 76
ghost contribution, 76
conformal compactification, 60
conformal dimension, 64, 106
of bosonic ghosts, 142
of conserved currents, 70
of free fermion, 141
of ghost fields, 75
of minimal model fields, 72
of primary field, 107
of vertex operator, 85, 86, 88, 108
conformal field, 64
conformal field theory, 15, 58
anomalous dimensions, 653
correlation functions, 651
energy–momentum tensor, 652
Euclideanized, 651
in three dimensions, 643
scaling dimension, 653
state–operator correspondence, 67, 85, 655
conformal fixed point, 650
conformal flatness, 59
conformal group
D dimensions, 59, 61, 612
conformal weights, 668
inversion, 60
restricted, 62
two dimensions, 61, 62
conformal isometry group, 91
conformal symmetry
anomaly, 658
conformal transformation, 60
Index 729
infinitesimal, 61, 74
special, 60, 62
conical singularity, 360, 670
conifold, 354, 487–489, 669, 671, 675, 684, 687
deformed, 488, 490, 496, 498, 673, 675, 684
with wrapped D6-branes, 685
geometry, 489, 491
isometry group, 489
Kähler form, 548
resolved, 488, 490, 684
with wrapped D5-branes, 685
singularity, 403, 404, 454, 487, 488, 490, 497
transition, 357, 385, 403, 487, 685
warped, 492, 674
with fluxes, 491
coordinate singularity, 554, 559
correlation functions, 73
generating function, 652
coset-space theory, 69
cosmic censorship conjecture, 550, 551, 558
cosmic fluids, 528
cosmic microwave background (CMB), 527,
530
polarization, 538
scalar perturbations, 538
spectral indices, 539
tensor perturbations, 538
cosmic strings, 537, 543
cosmological constant, 15, 84, 474, 482, 528,
547
in brane-world scenario, 494
positive, 504, 505
problem, 377, 439, 503, 522
coupling constant
N = 4 super Yang–Mills, 642
N = 4 super Yang–Mills theory, 323
’t Hooft, 639, 650
11-dimensional, 304
effective, 639
gravitational, 301, 310
in four dimensions, 499
heterotic string, 335, 344, 420
in seven dimensions, 422
of gauge unification, 519, 520
open string, 233, 639
QED, 8
S-duality transformation, 323
string, 8, 11, 85, 90, 227, 311
super Yang–Mills in D = 10, 318
type I superstring, 325
type IIA superstring, 307, 310, 331, 643
type IIB superstring, 327, 427, 492
Yang–Mills in five dimensions, 636
covariantly constant spinor, 363, 376
critical density, 529
critical dimension, 7, 47
of RNS string, 129
critical string, 47, 76
cross-cap, 82, 178
cross-cap state, 171
cubic invariant