Representations of the parafermion vertex operator algebras

被引:20
|
作者
Dong, Chongying [1 ,2 ]
Ren, Li [1 ]
机构
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
基金
美国国家科学基金会;
关键词
Vertex operator algebras; Affine Kac-Moody algebras; MODULAR INVARIANCE; W-ALGEBRAS; VIRASORO; AFFINE;
D O I
10.1016/j.aim.2017.05.016
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The rationality of the parafermion vertex operator algebra K(g, k) associated to any finite dimensional simple Lie algebra g and any nonnegative integer k is established and the irreducible modules are determined. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码:88 / 101
页数:14
相关论文
共 50 条
  • [1] Parafermion vertex operator algebras
    Chongying Dong
    Qing Wang
    [J]. Frontiers of Mathematics in China, 2011, 6 : 567 - 579
  • [2] Parafermion vertex operator algebras
    Dong, Chongying
    Wang, Qing
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (04) : 567 - 579
  • [3] The structure of parafermion vertex operator algebras
    Dong, Chongying
    Lam, Ching Hung
    Wang, Qing
    Yamada, Hiromichi
    [J]. JOURNAL OF ALGEBRA, 2010, 323 (02) : 371 - 381
  • [4] PARAFERMION VERTEX OPERATOR ALGEBRAS AND W-ALGEBRAS
    Arakawa, Tomoyuki
    Lam, Ching Hung
    Yamada, Hiromichi
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (06) : 4277 - 4301
  • [5] Trace functions of the parafermion vertex operator algebras
    Dong, Chongying
    Kac, Victor
    Ren, Li
    [J]. ADVANCES IN MATHEMATICS, 2019, 348 : 1 - 17
  • [6] Automorphism group of parafermion vertex operator algebras
    Wang, Qing
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (01) : 94 - 107
  • [7] The Structure of Parafermion Vertex Operator Algebras: General Case
    Dong, Chongying
    Wang, Qing
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 299 (03) : 783 - 792
  • [8] The Structure of Parafermion Vertex Operator Algebras: General Case
    Chongying Dong
    Qing Wang
    [J]. Communications in Mathematical Physics, 2010, 299 : 783 - 792
  • [9] THE IRREDUCIBLE MODULES AND FUSION RULES FOR THE PARAFERMION VERTEX OPERATOR ALGEBRAS
    Ai, Chunrui
    Dong, Chongying
    Jiao, Xiangyu
    Ren, Li
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (08) : 5963 - 5981
  • [10] On C2-cofiniteness of parafermion vertex operator algebras
    Dong, Chongying
    Wang, Qing
    [J]. JOURNAL OF ALGEBRA, 2011, 328 (01) : 420 - 431