3 papers
math.QA2026
Permutation orbifolds and simple current extensions
Ching Hung Lam, Nina Yu
In this article, we study permutation orbifolds and simple current extensions in the framework of vertex operator (super)algebras. We extend the construction of permutation-twisted…
math.CT2025
Representations over diagrams of abelian categories II: Abelian model structures
Zhenxing Di, Liping Li, Li Liang +1
This is the second paper in a series on representations over diagrams of abelian categories. We show that, under certain conditions, a compatible family of abelian model categories…
math.QA2024
Fusion Products of Twisted Modules in Permutation Orbifolds: II
Chongying Dong, Feng Xu, Nina Yu
Let be a simple, rational, -cofinite vertex operator algebra of CFT type, and let be a positive integer. In this paper, we determine the fusion products of twisted m…