Rationality of vertex operator algebra VL+: higher rank

被引：16

作者：

Dong, Chongying ^{[1
,2
]}

Jiang, Cuipo ^{[3
]}

Lin, Xingjun ^{[1
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu 610065, Peoples R China

[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2012年 / 104卷

基金：

美国国家科学基金会;

关键词：

IRREDUCIBLE MODULES; FUSION RULES; REPRESENTATIONS; CLASSIFICATION; REGULARITY; M(1)(+);

D O I：

10.1112/plms/pdr055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The lattice vertex operator V-L associated to a positive definite even lattice L has an automorphism of order 2 lifted from-1 isometry of L. It is established that the fixed point vertex operator algebra V-L(+) is rational.

引用

页码：799 / 826

页数：28

共 45 条

[41] A Characterization of Vertex Operator Algebra L(1/2,0) ⊗ L(1/2,0)
Dong, Chongying
Jiang, Cuipo
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 296 (01) : 69 - 88
[42] Representations of Z2-orbifold of the parafermion vertex operator algebra K(sl2, k)
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JOURNAL OF ALGEBRA, 2019, 529 : 174 - 195
[43] W-Algebra W (2,2) and the Vertex Operator Algebra L (1/2,0) ⊗ L (1/2,0)
Zhang, Wei
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COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 285 (03) : 991 - 1004
[44] The commutant of L(sl2)over-cap(n, 0) in the vertex operator algebra L(sl2)over-cap(1,0)⊗n
Jiang, Cuipo
Lin, Zongzhu
ADVANCES IN MATHEMATICS, 2016, 301 : 227 - 257
[45] The triplet vertex operator algebra W(p) and the restricted quantum group (U)over-barq(sl2) at q = eπi/p
Nagatomo, Kiyokazu
Tsuchiya, Akihiro
EXPLORING NEW STRUCTURES AND NATURAL CONSTRUCTIONS IN MATHEMATICAL PHYSICS, 2011, 61 : 1 - +

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