Abstract

Let V be a simple vertex operator superalgebra and G a finite automorphism group of V containing the canonical automorphism σ such that VG is regular. It is proved that every irreducible VG-module occurs in an irreducible g-twisted V-module for some g∈G. Moreover, the quantum dimensions of irreducible VG-modules are determined, a global dimension formula for V in terms of twisted modules is obtained and a super quantum Galois theory is established. In addition the S-matrix of VG is computed.

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