# Super orbifold theory

@article{Dong2022SuperOT,
title={Super orbifold theory},
author={Chongying Dong and Li Ren and Mei-chun Yang},
year={2022}
}
• Published 8 April 2021
• Mathematics

## References

SHOWING 1-10 OF 54 REFERENCES
Twisted Modules for Vertex Operator Superalgebras and Associative Algebras
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
Orbifolds and minimal modular extensions
• Mathematics
• 2021
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
Vertex operator superalgebras and the 16-fold way
• Computer Science
Transactions of the American Mathematical Society
• 2021
<p>Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper V"> <mml:semantics> <mml:mi>V</mml:mi> <mml:annotation
Fusion products of twisted modules in permutation orbifolds.
• Mathematics
• 2019
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
Three equivalent rationalities of vertex operator superalgebras
• Mathematics
• 2015
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.
Twisted group algebras and their representations
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
On a q-Analogue of the McKay Correspondence and the ADE Classification of sl̂2 Conformal Field Theories
• Mathematics
• 2002
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
On Axiomatic Approaches to Vertex Operator Algebras and Modules
• Mathematics
• 1993
Introduction Vertex operator algebras Duality for vertex operator algebras Modules Duality for modules References.