2019 / March Volume 14 No.1
Generalized twisted quantum doubles of a finite group and rational orbifolds
| Published Date |
2019 / March
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|---|---|
| Title | Generalized twisted quantum doubles of a finite group and rational orbifolds |
| Author | |
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| Pagination | 1-13 |
| 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.
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| DOI | |
| AMS Subject Classification |
16T99, 18D99, 17B69.
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| Received |
2017-12-03
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| Accepted |
2018-01-01
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