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20112025
most citedFusion rules for -orbifolds of affine and parafermion vertex operator algebras

5 citations · 11 across the 7 of their papers we have counts for

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12 papers · 1 filter

math.QA2025

On singular vectors of simply-laced universal affine vertex operator algebras

Cuipo Jiang, Jingtian Song

Given a finite-dimensional complex simple Lie algebra and a complex number , let be the associated universal affine vertex algebra. Gorelik an…

math.QA2025

Structure and representations of the coset vertex operator algebra

Runkang Feng, Cuipo Jiang

In this paper, we determinate the structure of the coset vertex operator algebra . We prove that $C( L_{\w…

math.QA2024

Associated varieties of simple affine VOAs and -algebras

Cuipo Jiang, Jingtian Song

In this paper we first prove that the maximal ideal of the universal affine vertex operator algebra for is generated by two singular vectors of con…

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

The classification of vertex operator algebras of OZ-type generated by Ising vectors of -type

Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi

We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of -type. As a consequence of the classification, we also prove that such VOAs are simple, rati…

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…