Super orbifold theory

2021/04/08 by Dong, Chongying, Ren, Li, Yang, Meiling
#17B69 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2104.03533

Abstract

Let V be a simple vertex operator superalgebra and G a finite automorphism group of V containing the canonical automorphism σ 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∈ G and the irreducible V^G-modules are classified. 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

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