Permutation orbifolds of Virasoro vertex algebras and W-algebras

被引：6

作者：

Milas, Antun ^{[1
]}

Penn, Michael ^{[2
]}

Sadowski, Christopher ^{[3
]}

机构：

[1] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

[2] Randolph Coll, Math Dept, Lynchburg, VA USA

[3] Ursinus Coll, Dept Math & Comp Sci, Collegeville, PA 19426 USA

来源：

JOURNAL OF ALGEBRA | 2021年 / 570卷

基金：

美国国家科学基金会;

关键词：

Virasoro algebra; Vertex algebras; W-algebras;

D O I：

10.1016/j.jalgebra.2020.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study permutation orbifolds of the 2-fold and 3-fold tensor product for the Virasoro vertex algebra V-c of central charge c. In particular, we show that for all but finitely many central charges (V-c(circle times 3))(Z3) is a W-algebra of type (2, 4, 5, 63, 7, 83, 93, 102). We also study orbifolds of their simple quotients and obtain new realizations of certain rational affine W-algebras associated to a principal nilpotent element. Further analysis of permutation orbifolds of the celebrated (2, 5)-minimal vertex algebra L-22/5 is presented. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：267 / 296

页数：30

共 31 条

[1] C2-Cofiniteness of 2-Cyclic Permutation Orbifold Models [J].