The structure of parafermion vertex operator algebras

被引：37

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

页码：371 / 381

页数：11

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