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arXiv · 2104.03533

Super orbifold theory

Chongying Dong·Li Ren·Meiling Yang
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Abstract

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 $g\in G$ 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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Chongying Dong, Li Ren, Meiling Yang. 2021-04-08. Super orbifold theory. https://arxiv.org/abs/2104.03533

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