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

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9 papers · 1 filter

math.QA2026

On the Haagerup Vertex Operator Algebras

Chongying Dong, Xiangyu Jiao, Feng Xu

Three constructions of vertex operator algebras realizing the Haagerup center were announced independently and almost simultaneously. The relations between these constructions are…

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.…