Nonsemisimple fusion algebras and the Verlinde formula

被引：96
作者：
Fuchs, J [1 ]
Hwang, S
Semikhatov, AM
Tipunin, IY
机构：
[1] Karlstad Univ, Karlstad, Sweden
[2] PN Lebedev Phys Inst, Moscow 117924, Russia
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2004年 / 247卷 / 03期
关键词：
D O I：
10.1007/s00220-004-1058-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We find a nonsemisimple fusion algebra F(p) associated with each (1, p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive F(p) from modular transformations of characters.
引用
收藏
页码：713 / 742
页数：30
相关论文
共 29 条
[1]  
Bakalov B., 2001, LECT TENSOR CATEGORI
[2]  
Bannai E, 1984, Algebraic Combinatorics I: Association Schemes
[3]   Boundary states in c=-2 logarithmic conformal field theory [J].
Bredthauer, A ;
Flohr, M .
NUCLEAR PHYSICS B, 2002, 639 (03) :450-470
[4]  
BREDTHAUER A, 2002, THESIS HANNOVER
[5]   TOWARDS A CLASSIFICATION OF FUSION RULE ALGEBRAS IN RATIONAL CONFORMAL FIELD-THEORIES [J].
CASELLE, M ;
PONZANO, G ;
RAVANINI, F .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1992, 6 (11-12) :2075-2090
[6]   CONFORMAL CHARACTERS AND THETA-SERIES [J].
EHOLZER, W ;
SKORUPPA, NP .
LETTERS IN MATHEMATICAL PHYSICS, 1995, 35 (03) :197-211
[7]   ON THE CLASSIFICATION OF MODULAR FUSION ALGEBRAS [J].
EHOLZER, W .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 172 (03) :623-659
[8]   Logarithmic conformal field theories via logarithmic deformations [J].
Fjelstad, J ;
Fuchs, J ;
Hwang, S ;
Semikhatov, AM ;
Tipunin, IY .
NUCLEAR PHYSICS B, 2002, 633 (03) :379-413
[9]  
FLOHR M, HEPTH0111228
[10]   On modular invariant partition functions of conformal field theories with logarithmic operators [J].
Flohr, MAI .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (22) :4147-4172
123