Feng Xu

activity

20192026

most citedFusion products of twisted modules in permutation orbifolds

1 citations · 1 across the 5 of their papers we have counts for

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6 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.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

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…