@article{Dong2022SuperOT,
title={Super orbifold theory},
author={Chongying Dong and Li Ren and Mei-chun Yang},
journal={Advances in Mathematics},
year={2022}
}

Author(s): Petersen, Charles Anthony | Advisor(s): Dong, Chongying | Abstract: Let $V$ be a vertex operator superalgebra and $\sigma$ the order $2$ automorphism \linebreak associated with the… Expand

Let V be a simple, rational, C2-cofinite vertex operator algebra and G a finite group acting faithfully on V as automorphisms, which is simply called a rational vertex operator algebra with a… Expand

Let $V$ be a vertex operator algebra, $k$ a positive integer and $\sigma$ a permutation automorphism of the vertex operator algebra $V^{\otimes k}$. In this paper, we determine the fusion product of… Expand

For any vertex operator superalgebra V=V0⊕V1 satisfying the C2-cofiniteness, it is proved that rationality of V, rationality of V0 and σ-rationality of V are equivalent under certain condition.

Let be a finite group, a field. A twisted group algebra A() on over is an associative algebra whose elements are the formal linear combinations and in which the product (A)(B) is a non-zero multiple… Expand

Abstract The goal of this paper is to give a category theory based definition and classification of “finite subgroups in Uq( s l 2)” where q=eπi/l is a root of unity. We propose a definition of such… Expand