On $G$--modular functor

Abstract

In this paper, we extend the notion of modular functor and fusion category to what we called $G$ equivariant modular functor and $G$ equivariant fusion category, where $G$ is a finite group, and establish a correspondence between between these notions.

arXiv comment24 pages

References in corpus (4)

• Chern-Simons Theory with Finite Gauge Group
• Group Cohomology and Gauge Equivalence of some Twisted Quantum Doubles
• Fusion of twisted representations
• Twisted Modules over Vertex Algebras on Algebraic Curves

Cited by in corpus (1)

• Permutation Modular Invariants from Modular Functors