2-Permutations of lattice vertex operator algebras: Higher rank

被引：7

作者：

Dong, Chongying ^{[1
]}

Xu, Feng ^{[2
,3
]}

Yu, Nina ^{[4
]}

机构：

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

[2] Foshan Univ, Dept Math, Guangzhou 528000, Guangdong, Peoples R China

[3] Univ Calif Riverside, Riverside, CA 92521 USA

[4] Xiamen Univ, Sch Math Sci, Fujian 361005, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2017年 / 476卷

基金：

美国国家科学基金会;

关键词：

Vertex operator algebras; Permutation orbifold; Representation of vertex operator algebras; PERMUTATION ORBIFOLDS; CYCLIC PERMUTATIONS; TWISTED MODULES; FUSION RULES; V-L(+); PRODUCT; C-2-COFINITENESS; REPRESENTATIONS; RATIONALITY; EXTENSIONS;

D O I：

10.1016/j.jalgebra.2016.12.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of our investigation on 2-permutation of lattice vertex operator algebras. In particular, the quantum dimensions of irreducible modules and the fusion rules are determined. If the rank of the lattice is one, these results have been obtained previously in [27]. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1 / 25

页数：25

共 42 条

[1] Fusion rules for the free bosonic orbifold vertex operator algebra
Abe, T
[J]. JOURNAL OF ALGEBRA, 2000, 229 (01) : 333 - 374
[2] Rationality of the vertex operator algebra VL+ for a positive definite even lattice L
Abe, T
[J]. MATHEMATISCHE ZEITSCHRIFT, 2005, 249 (02) : 455 - 484
[3] Fusion rules for the vertex operator algebras M(1)+ and VL+
Abe, T
Dong, CY
Li, HS
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 253 (01) : 171 - 219
[4] Rationality, regularity, and C2-cofiniteness
Abe, T
Buhl, G
Dong, CY
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (08) : 3391 - 3402
[5] Classification of irreducible modules for the vertex operator algebra VL+:: general case
Abe, T
Dong, CY
[J]. JOURNAL OF ALGEBRA, 2004, 273 (02) : 657 - 685
[6] C2-Cofiniteness of 2-Cyclic Permutation Orbifold Models
Abe, Toshiyuki
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 317 (02) : 425 - 445
[7] C 2-Cofiniteness of the 2-Cycle Permutation Orbifold Models of Minimal Virasoro Vertex Operator Algebras
Abe, Toshiyuki
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 303 (03) : 825 - 844
[8] [Anonymous], ARXIV150703306
[9] Orbifolds of lattice vertex algebras under an isometry of order two
Bakalov, Bojko
Elsinger, Jason
[J]. JOURNAL OF ALGEBRA, 2015, 441 : 57 - 83
[10] Characters and modular properties of permutation orbifolds
Bantay, P
[J]. PHYSICS LETTERS B, 1998, 419 (1-4) : 175 - 178

← 1 2 3 4 5 →