Chongying Dong

activity

20162026

most citedFusion products of twisted modules in permutation orbifolds

1 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

math.QA2026

Reverse Module Categories of Vertex Operator Algebras

Chongying Dong, Binghui Li, Li Ren +1

We study the realization of the reverse braided category of the module category of a rational vertex operator algebra V. Using holomorphic extensions and commutant constructions, w…

math.QA2025

Generalized Symmetries From Fusion Actions

Chongying Dong, Siu-Hung Ng, Li Ren +1

Let $A$ be a condensable algebra in a modular tensor category $C$ . We define an action of the fusion category $C_{A}$ of $A$ -modules in $C$ on the morph…

math.QA2024

Fusion Products of Twisted Modules in Permutation Orbifolds: II

Chongying Dong, Feng Xu, Nina Yu

Let $V$ be a simple, rational, $C_{2}$ -cofinite vertex operator algebra of CFT type, and let $k$ be a positive integer. In this paper, we determine the fusion products of twisted m…

math.QA2024

Coset constructions and Kac-Wakimoto Hypothesis

Chongying Dong, Li Ren, Feng Xu

Categorical coset constructions are investigated and Kac-Wakimoto Hypothesis associated with pseudo unitary modular tensor categories is proved. In particular, the field identifica…

math.QA2023

Twisted Verlinde formula for vertex operator algebras

Chongying Dong, Xingjun Lin

For a rational and $C_{2}$ -cofinite vertex operator algebra $V$ with an automorphism group $G$ of prime order, the fusion rules for twisted $V$ -modules are studied, a twisted Verlind…

math.QA2023

Permutation orbifolds of vertex operator superalgebra and associative algebras

Chongying Dong, Feng Xu, Nina Yu

Let $V$ be a vertex operator superalgebra and $g = (12 \dots k)$ be a $k$ -cycle which is viewed as an automorphism of the tensor product vertex operator superalgebra $…

math.QA2019★ 1 cited

Fusion products of twisted modules in permutation orbifolds

Chongying Dong, Haisheng Li, Feng Xu +1

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

math.QA2016★ 1 cited

The 3-permutation orbifold of a lattice vertex operator algebra

Chonging Dong, Feng Xu, Nina Yu

Irreducible modules of the 3-permutation orbifold of a rank one lattice vertex operator algebra are listed explicitly. Fusion rules are determined by using the quantum dimensions.…