Some exceptional extensions of Virasoro vertex operator algebras

被引：1
|
作者：
Ai, Chunrui [1 ]
Dong, Chongying [2 ,3 ]
Lin, Xingjun [4 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
[3] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
[4] Wuhan Univ, Collaborat Innovat Ctr Math, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2020年 / 546卷
关键词：
Vertex operator algebra; Virasoro algebra; Extension; Modular invariant; MODULAR-INVARIANCE; CLASSIFICATION; REPRESENTATIONS; RATIONALITY; REGULARITY;
D O I：
10.1016/j.jalgebra.2019.10.053
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, extensions of nonunitary rational Virasoro vertex operator algebras corresponding to some exceptional modular invariants are constructed. The uniqueness of these extensions is also established. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：370 / 389
页数：20
相关论文
共 50 条
  • [21] Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters
    Arike, Yusuke
    Nagatomo, Kiyokazu
    Sakai, Yuichi
    LIE ALGEBRAS, VERTEX OPERATOR ALGEBRAS, AND RELATED TOPICS, 2017, 695 : 175 - 204
  • [22] Lifts of automorphisms of vertex operator algebras in simple current extensions
    Hiroki Shimakura
    Mathematische Zeitschrift, 2007, 256 : 491 - 508
  • [23] Unitary vertex operator algebras
    Dong, Chongying
    Lin, Xingjun
    JOURNAL OF ALGEBRA, 2014, 397 : 252 - 277
  • [24] Parafermion vertex operator algebras
    Dong, Chongying
    Wang, Qing
    FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (04) : 567 - 579
  • [25] Zk-code vertex operator algebras
    Arakawa, Tomoyuki
    Yamada, Hiromichi
    Yamauchi, Hiroshi
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2021, 73 (01) : 185 - 209
  • [26] A characterization of vertex operator algebras VZα+: I
    Dong, Chongying
    Jiang, Cuipo
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2015, 709 : 51 - 79
  • [27] Some General Results on Conformal Embeddings of Affine Vertex Operator Algebras
    Dražen Adamović
    Ozren Perše
    Algebras and Representation Theory, 2013, 16 : 51 - 64
  • [28] The Intermediate Vertex Subalgebras of the Lattice Vertex Operator Algebras
    Kazuya Kawasetsu
    Letters in Mathematical Physics, 2014, 104 : 157 - 178
  • [29] Application of Vertex Algebras to the Structure Theory of Certain Representations Over the Virasoro Algebra
    Radobolja, Gordan
    ALGEBRAS AND REPRESENTATION THEORY, 2014, 17 (04) : 1013 - 1034
  • [30] Vertex operator algebras generated by two Ising vectors
    Jiao, Xiangyu
    Zheng, Wen
    JOURNAL OF ALGEBRA, 2022, 610 : 546 - 570
12345