WZW FUSION RULES, QUANTUM GROUPS, AND THE MODULAR MATRIX-S

被引:26
作者
FUCHS, J [1 ]
VANDRIEL, P [1 ]
机构
[1] UNIV AMSTERDAM,INST THEORET FYS,1018 XE AMSTERDAM,NETHERLANDS
关键词
D O I
10.1016/0550-3213(90)90296-P
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
A simple algorithm, due to Walton, for calculating the fusion rules of WZW theories is proved and applied to several nontrivial examples. The results are used to gain new insight in the structure of non-fully reducible modules of the quantum groups Uqg, and to find the explicit form of the modular transformation matrix S for some cases where it had not yet been worked out before. © 1990.
引用
收藏
页码:632 / 648
页数:17
相关论文
共 21 条
[1]   DUALITY AND QUANTUM GROUPS [J].
ALVAREZGAUME, L ;
GOMEZ, C ;
SIERRA, G .
NUCLEAR PHYSICS B, 1990, 330 (2-3) :347-398
[2]   HIDDEN QUANTUM SYMMETRIES IN RATIONAL CONFORMAL FIELD-THEORIES [J].
ALVAREZGAUME, L ;
GOMEZ, C ;
SIERRA, G .
NUCLEAR PHYSICS B, 1989, 319 (01) :155-186
[3]  
Dijkgraaf R., 1988, Nuclear Physics B, Proceedings Supplements, V5B, P87, DOI 10.1016/0920-5632(88)90371-4
[4]   HIGHER LEVEL KAC-MOODY REPRESENTATIONS AND RANK REDUCTION IN STRING MODELS [J].
FORGACS, P ;
HORVATH, Z ;
PALLA, L ;
VECSERNYES, P .
NUCLEAR PHYSICS B, 1988, 308 (2-3) :477-508
[5]  
FRENKEL I, 1989, JUN C INF DIM LIE AL
[6]   SOME SYMMETRIES OF QUANTUM DIMENSIONS [J].
FUCHS, J ;
VANDRIEL, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (07) :1770-1775
[7]   STRING THEORY ON GROUP-MANIFOLDS [J].
GEPNER, D ;
WITTEN, E .
NUCLEAR PHYSICS B, 1986, 278 (03) :493-549
[8]  
KAC, 1994, INFINITE DIMENSIONAL
[9]  
KAC V, 1989, AUG CAN MATH SOC M L
[10]   MODULAR AND CONFORMAL-INVARIANCE CONSTRAINTS IN REPRESENTATION-THEORY OF AFFINE ALGEBRAS [J].
KAC, VG ;
WAKIMOTO, M .
ADVANCES IN MATHEMATICS, 1988, 70 (02) :156-236