期刊
COMMUNICATIONS IN ALGEBRA
卷 49, 期 4, 页码 1609-1638出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2020.1842431
关键词
Vertex algebras; W-algebras
类别
资金
- NSF [1601070]
- Simons Collaboration Grant for Mathematicians
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1601070] Funding Source: National Science Foundation
This study focuses on S (2)-orbifolds of N = 1 and N = 2 superconformal vertex algebras, determining their types and proving that they are W-algebras. New examples of rational N = 1 vertex superalgebras were discovered for special rational values of the central charge. The S (2)-orbifold of the Heisenberg-Virasoro vertex algebra was also investigated.
We study S (2)-orbifolds of N = 1 and N = 2 superconformal vertex algebras. For generic values of the central charge, we determine types of these orbifolds and prove that they are W-algebras. For some special rational values of the central charge, we get new examples of rational N = 1 vertex superalgebras. We also investigate S (2)-orbifold of the Heisenberg-Virasoro vertex algebra.
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