Modularity in Orbifold Theory for Vertex Operator Superalgebras |
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Authors: | Chongying Dong Zhongping Zhao |
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Affiliation: | (1) Department of Mathematics, University of California, Santa Cruz, CA 95064, USA |
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Abstract: | This paper is about the orbifold theory for vertex operator superalgebras. Given a vertex operator superalgebra V and a finite automorphism group G of V, we show that the trace functions associated to the twisted sectors are holomorphic in the upper half plane for any commuting pairs in G under the C2-cofinite condition. We also establish that these functions afford a representation of the full modular group if V is C2-cofinite and g-rational for any g ∈ G.Supported by NSF grants, China NSF grant 10328102 and a Faculty research grant from the University of California at Santa Cruz |
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