On S-matrix, and fusion rules for irreducible V^G-modules

2016/04/25 by Liuyi Zhang, Zhang, Liuyi, Li Wu +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1604.07162

Some contents added, and typos corrected

arxiv created 2017/04/09 · arxiv updated 2017/04/11

Abstract

Let V be a simple vertex operator algebra, and G a finite automorphism group of V such that V^G is regular. The definition of entries in S-matrix on V^G is discussed, and then is extended. The set of V^G-modules can be considered as a unitary space. In this paper, we obtain some connections between V-modules and V^G-modules over that unitary space. As an application, we determine the fusion rules for irreducible V^G-modules which occur as submodules of irreducible V-modules by the fusion rules for irreducible V-modules and by the structure of G.

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