A family of regular vertex operator algebras with two generators

被引：5

作者：

Adamovic, Drazen ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2007年 / 5卷 / 01期

关键词：

vertex operator algebras; vertex operator superalgebras; rationality; regularity; lattice vertex operator algebras;

D O I：

10.2478/s11533-006-0045-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every m epsilon C\{0,- 2} and every nonnegative integer k we define the vertex operator (super) algebra D-m,D-k having two generators and rank 3m/m+2. If m is a positive integer then Dm, k can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that Dm, k is a regular vertex operator (super) algebra and find the number of inequivalent irreducible modules. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.

引用

页码：1 / 18

页数：18

共 25 条

[1] Rationality, regularity, and C2-cofiniteness [J].