Page 505




Transition function, 305






Tree, 105






maximal, 105






Triangulable, 68






Triangulation, 68






Trivial bundle, 307, 312, 327, 383






Typical fibre, 305







U






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







V






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







W






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







Y






Yang–Mills field strength, 344






Yang–Mills gauge field, 12, 350, 359






Yang–Mills potential, 335







Z






z-function, 7–9






generalised, 8, 427–8






Zero mode, 425, 481






Zweibein, 244


Start of Citation[PU]Institute of Physics Publishing[/PU][DP]1990[/DP]End of Citation