Twisted modules for vertex algebras associated with vertex algebroids

被引:0
|
作者
Li, Haisheng [1 ,2 ]
Yamskulna, Gaywalee [3 ,4 ]
机构
[1] Rutgers State Univ, Dept Math Sci, Camden, NJ 08102 USA
[2] Harbin Normal Univ, Dept Math, Harbin, Peoples R China
[3] Illinois State Univ, Dept Math, Normal, IL 61790 USA
[4] Walaikak Univ, Inst Sci, Nakhon Si Thammarat, Thailand
关键词
vertex algebra; twisted module; vertex algebroid;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We continue the work in our earlier paper, "On certain vertex algebras and their modules associated with vertex algebroids", J.Algebra 283 ( 2005), 367-398, to construct and classify graded simple twisted modules for the N-graded vertex algebras constructed by Gorbounov, Malikov and Schechtman from vertex algebroids. In addition, we determine the full automorphism groups of those N-graded vertex algebras in terms of the automorphism groups of the corresponding vertex algebroids.
引用
收藏
页码:199 / 222
页数:24
相关论文
共 50 条
  • [31] Bosonization and Vertex Algebras with Defects
    M. Mintchev
    P. Sorba
    Annales Henri Poincaré, 2006, 7 : 1375 - 1393
  • [32] Orbifolds of lattice vertex algebras
    Bojko Bakalov
    Jason Elsinger
    Victor G. Kac
    Ivan Todorov
    Japanese Journal of Mathematics, 2023, 18 : 169 - 274
  • [33] An Abstract Construction of Vertex Algebras
    Zhang, Wei
    ALGEBRA COLLOQUIUM, 2014, 21 (03) : 427 - 436
  • [34] Local realizations of vertex algebras
    Wang, Peng
    Chen, Liangyun
    JOURNAL OF GEOMETRY AND PHYSICS, 2025, 211
  • [35] Orbifolds of lattice vertex algebras
    Bakalov, Bojko
    Elsinger, Jason
    Kac, Victor G.
    Todorov, Ivan
    JAPANESE JOURNAL OF MATHEMATICS, 2023, 18 (02): : 169 - 274
  • [36] Vertex operator algebras associated to modified regular representations of affine Lie algebras
    Zhu, Minxian
    ADVANCES IN MATHEMATICS, 2008, 219 (05) : 1513 - 1547
  • [37] CONFORMAL ALGEBRAS, VERTEX ALGEBRAS, AND THE LOGIC OF LOCALITY
    Smith, Jonathan D. H.
    MATHEMATICA SLOVACA, 2016, 66 (02) : 407 - 420
  • [38] Dirac Reduction for Poisson Vertex Algebras
    Alberto De Sole
    Victor G. Kac
    Daniele Valeri
    Communications in Mathematical Physics, 2014, 331 : 1155 - 1190
  • [39] Twisted restricted conformal blocks of vertex operator algebras I: g-twisted correlation functions and fusion rules
    Gao, Xu
    Liu, Jianqi
    Zhu, Yiyi
    JOURNAL OF ALGEBRA, 2025, 675 : 59 - 132
  • [40] Homotopy Gerstenhaber Structures and Vertex Algebras
    I. Gálvez
    V. Gorbounov
    A. Tonks
    Applied Categorical Structures, 2010, 18 : 1 - 15