Vertex operator algebras generated by two Ising vectors

被引:0
作者
Jiao, Xiangyu [1 ]
Zheng, Wen [2 ]
机构
[1] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
[2] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
关键词
Vertex operator algebra; Fusion rule; Ising vector; CONFORMAL VECTORS; MODULAR-INVARIANCE; MCKAYS OBSERVATION; RATIONALITY;
D O I
10.1016/j.jalgebra.2022.07.034
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we mainly study the vertex operator algebra CVA(e, f) generated by two Ising vectors e and f with (e, f) = 210 . We prove CVA(e, f) is isomorphic to the 6A-algebra Lf6A 5 constructed in [20]. We also discuss the cases (e, f) = 14, 251, 0 and the case (e, f) = 281 with (Tau e Tau f)4 = 1.(c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页码:546 / 570
页数:25
相关论文
共 32 条
[1]   Fusion rules for the vertex operator algebras M(1)+ and VL+ [J].
Abe, T ;
Dong, CY ;
Li, HS .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 253 (01) :171-219
[2]   Rationality, regularity, and C2-cofiniteness [J].
Abe, T ;
Buhl, G ;
Dong, CY .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (08) :3391-3402
[3]   THE IRREDUCIBLE MODULES AND FUSION RULES FOR THE PARAFERMION VERTEX OPERATOR ALGEBRAS [J].
Ai, Chunrui ;
Dong, Chongying ;
Jiao, Xiangyu ;
Ren, Li .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (08) :5963-5981
[4]  
[Anonymous], 1991, P S PURE MATH
[5]  
[Anonymous], 1996, Internat. Math. Res. Notices, DOI DOI 10.1155/S1073792896000566
[7]   A SIMPLE CONSTRUCTION FOR THE FISCHER-GRIESS MONSTER GROUP [J].
CONWAY, JH .
INVENTIONES MATHEMATICAE, 1985, 79 (03) :513-540
[8]   Uniqueness of VOA structure of 3C-algebra and 5A-algebra [J].
Dong, Chongying ;
Zheng, Wen .
JOURNAL OF ALGEBRA, 2021, 572 :76-110
[9]   6A-Algebra and its representations [J].
Dong, Chongying ;
Jiao, Xiangyu ;
Yu, Nina .
JOURNAL OF ALGEBRA, 2019, 533 :174-210
[10]  
Dong CY, 2013, T AM MATH SOC, V365, P6441