Generalized Twisted Quantum Doubles of a Finite Group and Rational Orbifolds
by
Geoffrey Mason, Siu-Hung Ng
ABSTRACT
In previous work the authors introduced a new class of modular quasi-Hopf algebra $D^{\omega}(G, A)$, associated to a finite group $G$, a central subgroup $A$ and a $3$-cocycle $\omega{\in}Z^3(G, \mathcal{C}^{\times})$. In the present paper we propose a description of the class of orbifold models of rational vertex operator algebras whose module category is tensor equivalent to $D^{\omega}(G, A)$-mod. The paper includes background on quasi-Hopf algebras and a discussion of some relevant orbifolds.
KEYWORDS
MATHEMATICAL SUBJECT CLASSIFICATION 2010
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