Simple current extensions of tensor products of vertex operator algebras
Representation Theory
2019-08-29 v3
Abstract
We study simple current extensions of tensor products of two vertex operator algebras satisfying certain conditions. We establish the relationship between the fusion rule for the simple current extension and the fusion rule for a tensor factor. In a special case, we construct a chain of simple current extensions. We discuss certain irreducible twisted modules for the simple current extension as well.
Keywords
Cite
@article{arxiv.1804.08242,
title = {Simple current extensions of tensor products of vertex operator algebras},
author = {Hiromichi Yamada and Hiroshi Yamauchi},
journal= {arXiv preprint arXiv:1804.08242},
year = {2019}
}
Comments
20 pages; an assumption is removed; some materials are deleted