C. Dong

activity

19942023

most citedModular invariance of trace functions in orbifold theory

470 citations · 1.4k across the 102 of their papers we have counts for

collaborators

104 papers

math.QA2023

Hopf actions on vertex algebras

Chongying Dong, Li Ren, Chao Yang

In this article, we investigate Hopf actions on vertex algebras. Our first main result is that every finite-dimensional Hopf algebra that inner faithfully acts on a given π_2-injec…

math.QA2023★ 1 cited

Orbifold theory for vertex algebras and Galois correspondence

Chongying Dong, Li Ren, Chao Yang

Let $V$ be a simple vertex algebra of countable dimension, $G$ be a finite automorphism group of $V$ and $σ$ be a central element of $G$ . Assume that $S$ is a finite set of…

math.QA2021

$S$ -matrix in permutation orbifolds

Chongying Dong, Feng Xu, Nina Yu

For a fixed positive integer $k$ , any element $g$ of the permutation group $S_{k}$ acts on the tensor product vertex operator algebra $V^{\otimes k}$ in the obvious way. In this pa…

math.QA2021★ 3 cited

Orbifolds and minimal modular extensions

Chongying Dong, Siu-Hung Ng, Li Ren

Let $V$ be a simple, rational, $C_{2}$ -cofinite vertex operator algebra and $G$ a finite group acting faithfully on $V$ as automorphisms, which is simply called a rational vertex ope…

math.QA2021

Super orbifold theory

Chongying Dong, Li Ren, Meiling Yang

Let $V$ be a simple vertex operator superalgebra and $G$ a finite automorphism group of $V$ containing the canonical automorphism $σ$ such that $V^{G}$ is regular. It is proved that…

math.QA2020

S-matrix in orbifold theory

Chongying Dong, Li Ren, Feng Xu

The restricted $S$ -matrix of $V^{G}$ is determined for any regular vertex operator algebra $V$ and finite automorphism group $G$ of $V .$ As an application, the $S$ -matrices for cycli…