Super orbifold theory
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
 Publication:

arXiv eprints
 Pub Date:
 April 2021
 arXiv:
 arXiv:2104.03533
 Bibcode:
 2021arXiv210403533D
 Keywords:

 Mathematics  Quantum Algebra;
 17B69
 EPrint:
 33 pages, fix some typos