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20082026
most citedThe structure of parafermion vertex operator algebras

35 citations · 65 across the 34 of their papers we have counts for

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27 papers · 1 filter

math.QA2026

Classification of irreducible highest weight modules for the parafermion vertex algebras at arbitrary level

Drazen Adamovic, Qing Wang

Let be the universal parafermion vertex algebra and its simple quotient. We classify all irreducible highest weight $N^k(\mathfrak{sl}…

math.QA2023

Representations of the orbifold of parafermion vertex operator algebra

Cuipo Jiang, Qing Wang

This paper is about the orbifold theory of parafermion vertex operator algebras associated to the affine vertex operator superalgebra …

math.QA2023

Vertex algebras and TKK algebras

Fulin Chen, Lingen Ding, Qing Wang

In this paper, we associate the TKK algebra with vertex algebras through twisted modules. Firstly, we prove that for any complex number ,…

math.QA2023

Orbifold theory of the affine vertex operator superalgebra

Cuipo Jiang, Qing Wang

This paper is about the orbifold theory of affine vertex operator superalgebras. Among the main results, we classify the irreducible modules and determine the fusion rules for the…

math.QA2022

Trigonometric Lie algebras, affine Kac-Moody Lie algebras, and equivariant quasi modules for vertex algebras

Hongyan Guo, Haisheng Li, Shaobin Tan +1

In this paper, we study a family of infinite-dimensional Lie algebras , where stands for the type: , and is an abelian group, which generalize the…

math.QA2022

A unified construction of vertex algebras from infinite-dimensional Lie algebras

Fulin Chen, Xiaoling Liao, Shaobin Tan +1

In this paper, we give a unified construction of vertex algebras arising from infinite-dimensional Lie algebras, including the affine Kac-Moody algebras, Virasoro algebras, Heisenb…