Super orbifold theory

Let V be a simple vertex operator superalgebra and G a finite automorphism group of V containing the canonical automorphism sigma such that V-G is regular. It is proved that every irreducible V-G-module occurs in an irreducible g-twisted V-module for some g is an element of G. Moreover, the quantum dimensions of irreducible V-G-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 V-G is computed. (c) 2022 Elsevier Inc. All rights reserved.