|
 |
|
|
|
|
Transition
function, 305 |
|
|
|
 |
|
|
|
|
Tree,
105 |
|
|
|
 |
|
|
|
|
maximal,
105 |
|
|
|
 |
|
|
|
|
Triangulable,
68 |
|
|
|
 |
|
|
|
|
Triangulation,
68 |
|
|
|
 |
|
|
|
|
Trivial
bundle, 307, 312, 327, 383 |
|
|
|
 |
|
|
|
|
Typical
fibre, 305 |
|
|
|
 |
|
|
|
|
Ultralocal
metric, 473 |
|
|
|
 |
|
|
|
|
Uniformisation
theorem, 486 |
|
|
|
 |
|
|
|
|
Unitary
frame, 353 |
|
|
|
 |
|
|
|
|
Unitary
group, 169 |
|
|
|
 |
|
|
|
|
Universal
bundle, 384 |
|
|
|
 |
|
|
|
|
Universal
covering group, 117, 327 |
|
|
|
 |
|
|
|
|
Universal
covering space, 117, 486 |
|
|
|
 |
|
|
|
|
Vacuum
expectation value, 13 |
|
|
|
 |
|
|
|
|
Vacuum-to-vacuum
amplitude, 5 |
|
|
|
 |
|
|
|
|
Polyakov
string, 468 |
|
|
|
 |
|
|
|
|
Vector,
143 |
|
|
|
 |
|
|
|
|
Vector
bundle, 313 327 |
|
|
|
 |
|
|
|
|
associated,
325 |
|
|
|
 |
|
|
|
|
Vector
field, 147 |
|
|
|
 |
|
|
|
|
Vector
potential, 10, 161, 350, 356 |
|
|
|
 |
|
|
|
|
Vector
space, 43–8 |
|
|
|
 |
|
|
|
|
Vertical
subspace, 330–2 |
|
|
|
 |
|
|
|
|
Vielbein,
244 |
|
|
|
 |
|
|
|
|
Vierbein,
244 |
|
|
|
 |
|
|
|
|
Volume
element, 165 |
|
|
|
 |
|
|
|
|
Vortex,
22, 122 |
|
|
|
 |
|
|
|
|
Wedge
product, 158 |
|
|
|
 |
|
|
|
|
Weil
homomorphism, 379 |
|
|
|
 |
|
|
|
|
Weil–Petersson
measure. 487 |
|
|
|
 |
|
|
|
|
Wess–Zumino
(WZ) consistency |
|
|
|
 |
|
|
|
|
condition,
448–51 |
|
|
|
 |
|
|
|
|
Weyl
fermion, 327, 435, 441 |
|
|
|
 |
|
|
|
|
Weyl
rescaling, 235, 263, 469 |
|
|
|
 |
|
|
|
|
Weyl–Schouten
tensor. 264 |
|
|
|
 |
|
|
|
|
Weyl
tensor, 238 |
|
|
|
 |
|
|
|
|
Whitney
sum bundle, 317, 382 |
|
|
|
 |
|
|
|
|
Wick
rotation, 4 |
|
|
|
 |
|
|
|
|
Winding
number, 122 |
|
|
|
 |
|
|
|
|
Word,
102 |
|
|
|
 |
|
|
|
|
empty,
103 |
|
|
|
 |
|
|
|
|
reduced,
103 |
|
|
|
 |
|
|
|
|
World
sheet. 32 |
|
|
|
 |
|
|
|
|
Yang–Mills
field strength, 344 |
|
|
|
 |
|
|
|
|
Yang–Mills
gauge field, 12, 350, 359 |
|
|
|
 |
|
|
|
|
Yang–Mills
potential, 335 |
|
|
|
 |
|
|
|
|
z-function, 7–9 |
|
|
|
 |
|
|
|
|
generalised,
8, 427–8 |
|
|
|
 |
|
|
|
|
Zero
mode, 425, 481 |
|
|
|
 |
|
|
|
|
Zweibein,
244 |
|
|
|
|