Mapping class group representations and generalized Verlinde formula

被引:5
作者
Bántay, P [1 ]
Vecsernyés, P
机构
[1] Eotvos Lorand Univ, Inst Theoret Phys, Budapest, Hungary
[2] Univ Kaiserslautern, Fachbereich Phys Theoret Phys, D-67663 Kaiserslautern, Germany
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1999年 / 14卷 / 09期
关键词
D O I
10.1142/S0217751X99000683
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Unitary representations of centrally extended mapping class groups (M) over tilde(g,1) g greater than or equal to 1 are given in terms of a rational Hopf algebra H, and a related generalization of the Verlinde formula is presented. Formulae expressing the traces of mapping class group elements in terms of the fusion rules, quantum dimensions and statistics phases are proposed.
引用
收藏
页码:1325 / 1335
页数:11
相关论文
共 18 条
[1]   ALGEBRAIC ASPECTS OF ORBIFOLD MODELS [J].
BANTAY, P .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1994, 9 (09) :1443-1456
[2]  
BANTAY P, IN PRESS
[3]  
BIRMAN JS, 1989, CONT MATH, V78, P13
[4]   FIELDS, OBSERVABLES AND GAUGE TRANSFORMATIONS .I. [J].
DOPLICHER, S ;
HAAG, R ;
ROBERTS, JE .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 13 (01) :1-+
[5]   ENDOMORPHISMS OF C-STAR-ALGEBRAS, CROSS PRODUCTS AND DUALITY FOR COMPACT-GROUPS [J].
DOPLICHER, S ;
ROBERTS, JE .
ANNALS OF MATHEMATICS, 1989, 130 (01) :75-119
[6]  
FREDENHAGEN K, 1992, REV MATH PHYS, V113
[7]   RATIONAL HOPF-ALGEBRAS - POLYNOMIAL EQUATIONS, GAUGE-FIXING, AND LOW-DIMENSIONAL EXAMPLES [J].
FUCHS, J ;
GANCHEV, A ;
VECSERNYES, P .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (24) :3431-3476
[8]  
Haag R., 1996, LOCAL QUANTUM PHYS F
[9]   MAPPING CLASS GROUP-ACTIONS ON QUANTUM DOUBLES [J].
KERLER, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 168 (02) :353-388
[10]   MODULAR TRANSFORMATIONS FOR TENSOR CATEGORIES [J].
LYUBASHENKO, V .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1995, 98 (03) :279-327