Orbifolds of lattice vertex algebras

被引：0

作者：

Bakalov, Bojko ^{[1
]}

Elsinger, Jason ^{[2
]}

Kac, Victor G. ^{[3
]}

Todorov, Ivan ^{[4
]}

机构：

[1] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Florida Southern Coll, Dept Math, Lakeland, FL 33801 USA

[3] MIT, Dept Math, Cambridge, MA 02139 USA

[4] Bulgarian Acad Sci, INRNE, Tsarigradsko Chaussee 72, BG-1784 Sofia, Bulgaria

来源：

JAPANESE JOURNAL OF MATHEMATICS | 2023年 / 18卷 / 02期

关键词：

regular vertex algebra; lattice vertex algebra; theta function; modular transformation; orbifold algebra; twisted module; OPERATOR-ALGEBRAS; LIE-ALGEBRAS; REPRESENTATIONS; REGULARITY;

D O I：

10.1007/s11537-023-2249-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To a positive-definite even lattice Q, one can associate the lattice vertex algebra V-Q, and any automorphism s of Q lifts to an automorphism of V-Q. In this paper, we investigate the orbifold vertex algebra V-Q(sigma), which consists of the elements of V-Q fixed under s, in the case when sigma has prime order. We describe explicitly the irreducible V-Q(sigma) -modules, compute their characters, and determine the modular transformations of characters. As an application, we find the asymptotic and quantum dimensions of all irreducible V-Q(sigma) -modules. We consider in detail the cases when the order of sigma is 2 or 3, as well as the case of permutation orbifolds.

引用

页码：169 / 274

页数：106

共 43 条

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