Constructing tensor products of modules for C₂-cofinite vertex operator superalgebras

Abstract

For any C₂-cofinite vertex operator superalgebra V, the tensor product and the P(z)-tensor product of any two admissible V-modules of finite length are proved to exist, which are shown to be isomorphic, and their constructions are given explicitly in this paper.

Keywords

vertex operator superalgebra / tensor product / C₂-cofiniteness

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg