The structure of parafermion vertex operator algebras

被引：35
|
作者：
Dong, Chongying [1 ,2 ]
Lam, Ching Hung [3 ,4 ]
Wang, Qing [5 ]
Yamada, Hiromichi [6 ]
机构：
[1] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
[2] Sichuan Univ, Sch Math, Chengdu, Peoples R China
[3] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan
[4] Natl Cheng Kung Univ, Natl Ctr Theoret Sci, Tainan 701, Taiwan
[5] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[6] Hitotsubashi Univ, Dept Math, Tokyo 1868601, Japan
来源：
JOURNAL OF ALGEBRA | 2010年 / 323卷 / 02期
关键词：
Vertex operator algebras; CONFORMAL FIELD-THEORIES; W-ALGEBRAS; VIRASORO ALGEBRAS; REPRESENTATIONS;
D O I：
10.1016/j.jalgebra.2009.08.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra A(1)((1)) of level k coincides with a certain W-algebra. In particular, a set of generators for the parafermion vertex operator algebra is determined. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：371 / 381
页数：11
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