Gravity and Strings

684 Index
Wess–Zumino (cont.)
in the string worldsheet action, 432
supersymmetric, 417
for Dp-branes, 435, 443
in the superstring GS action, 416
Wess-Zumino (WZ) term
for p-branes, 507–509
Weyl, 57
axisymmetric vacuum solutions, see solution, Weyl
basis, 162
canonical cordinates, 323
formalism for fermions in curved spacetime, 18, 37, 127, 128,
145, 375
and the CSK theory, 131
non-metricity tensor, 431
representation, 396, 617, 624, 625
rescalings, 40, 121, 122, 264, 417, 418
and conformal reference frames, 510
and tracelessness of the Maxwell energy–momentum
tensor, 219
effect on the curvature, 639
invariance of string action, 410, 433
invariance of the string action, 432
supersymmetric, 414
rescalings and massless fields, 123
spinors, 612, 616, 628
equivalent to Majorana in 4d, 151
static axisymmetric electrovacuum solutions, see solution,
Weyl
tensor in 4d, 14, 383, 384, 386
and the Einstein–Fokker theory, 56
tensor in higher d, 14
theorem (compactness of Lie groups), 594
Wick rotation, 209, 243, 285
not commuting with electric–magnetic duality, 262
of gamma matrices, 626
of Taub–NUT solution, 271
of the SL(2, R)/SO(2) σ-model
and the D-instanton, 540
Wigner’s theorem, 595
Wigner–Inönü contraction, 115, 142, 152, 153, 159, 161,
162, 167
Wilczek, 144
Wilson (G. A.), see solution, Israel–Wilson–Perjés (IWP)
Wilson line, 347
and D-branes, 428, 429, 499
mechanism, see Hosotani (or Wilson-line) mechanism
Winicour, see solution, Janis–Newman–Winicour
wire singularities
of Gibbons–Hawking multicenter metrics, see solution, Gibbons
of Taub–NUT solution, see Dirac, string singularities
Witten, 395
condition, 183
effect, 256–258, 261, 362
Hoˇrava–Witten scenario, see Hoˇrava–Witten scenario
Witten–Nester–Israel (WNI) technique, 181, 395, 398
WNI, see Witten–Nester–Israel (WNI) technique
worldsheet parity, 420
Wu–Yang monopole, 254–255
WZ, see Wess–Zumino term
Yang
Wu–Yang monopole, see Wu–Yang monopole
Yang–Mills
Bianchi identity, see Bianchi identities, for Yang–MIlls fields
Cherns–Simons 3-form, see Chern–Simons, 3-form
covariant derivative, 596
equation of motion, 597
field, 274, 391, 438, 470, 471, 478, 596
strength, 273, 597
theories, 127, 134, 137, 139, 595–598
and gravity, 140–144, 148
instantons, see solution, BPST instanton
solutions, 391
supersymmetric, 373, 564
Yang–Mills theories, 273
Yau, see Schoen–Yau positive-energy theorem
Zanelli, see solution, BTZ black hole
Zehnbein, 462
Zumino, see Wess–Zumino term
Zwanziger, see Dirac–Schwinger–Zwanziger
Zweibein, 14