ON RATIONALITY OF W-ALGEBRAS

被引:52
作者
Kac, Victor G. [1 ]
Wakimoto, Minoru [1 ]
机构
[1] MIT, Dept Math, Cambridge, MA 02139 USA
关键词
D O I
10.1007/s00031-008-9028-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the problem of classification of triples (g, f, k), where g is a simple Lie algebra, f its nilpotent element and k epsilon C, for which the simple W-algebra W-k(g, f) is rational.
引用
收藏
页码:671 / 713
页数:43
相关论文
共 27 条
[1]  
Adamovic D, 1995, MATH RES LETT, V2, P563
[2]   Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture [J].
Arakawa, T .
DUKE MATHEMATICAL JOURNAL, 2005, 130 (03) :435-478
[3]  
Arakawa T, 2007, INVENT MATH, V169, P219, DOI 10.1007/s00222-007-0046-1
[4]   INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY [J].
BELAVIN, AA ;
POLYAKOV, AM ;
ZAMOLODCHIKOV, AB .
NUCLEAR PHYSICS B, 1984, 241 (02) :333-380
[5]  
Collingwood David H., 1993, Mathematics series
[6]   Finite vs affine W-algebras [J].
De Sole, Alberto ;
Kac, Victor G. .
JAPANESE JOURNAL OF MATHEMATICS, 2006, 1 (01) :137-261
[7]   THE KAZHDAN-LUSZTIG CONJECTURE FOR FINITE W-ALGEBRAS [J].
DEVOS, K ;
VANDRIEL, P .
LETTERS IN MATHEMATICAL PHYSICS, 1995, 35 (04) :333-344
[8]   Twisted representations of vertex operator algebras [J].
Dong, CY ;
Li, HS ;
Mason, G .
MATHEMATISCHE ANNALEN, 1998, 310 (03) :571-600
[9]  
ELASHVILI AG, 2005, AM MATH SOC TRANSL, V2, P85
[10]   CHARACTERS AND FUSION RULES FOR W-ALGEBRAS VIA QUANTIZED DRINFELD-SOKOLOV REDUCTION [J].
FRENKEL, E ;
KAC, V ;
WAKIMOTO, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 147 (02) :295-328