Cuipo Jiang

collaborators

4 papers

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 $g$ and a complex number $κ$ , let $V^{κ} (g)$ be the associated universal affine vertex algebra. Gorelik an…

math.QA2025

Structure and representations of the coset vertex operator algebra $C (L_{os p (1∣2)} (2, 0), L_{os p (1∣2)} (1, 0)^{\otimes 2})$

Runkang Feng, Cuipo Jiang

In this paper, we determinate the structure of the coset vertex operator algebra $C (L_{os p (1∣2)} (2, 0), L_{os p (1∣2)} (1, 0)^{\otimes 2})$ . We prove that $C( L_{\w…

math.QA2025

Associated varieties of simple affine VOAs $L_{k} (s l_{3})$ and $W$ -algebras $W_{k} (s l_{3}, f)$

Cuipo Jiang, Jingtian Song

In this paper we first prove that the maximal ideal of the universal affine vertex operator algebra $V^{k} (s l_{n})$ for $k = - n + \frac{n - 1}{q}$ is generated by two singular vectors of con…

math.QA2025

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

Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi

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

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

Structure and representations of the coset vertex operator algebra C(Losp(1∣2)​​(2,0),Losp(1∣2)​​(1,0)⊗2)

Associated varieties of simple affine VOAs Lk​(sl3​) and W-algebras Wk​(sl3​,f)

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

Structure and representations of the coset vertex operator algebra $C (L_{os p (1∣2)} (2, 0), L_{os p (1∣2)} (1, 0)^{\otimes 2})$

Associated varieties of simple affine VOAs $L_{k} (s l_{3})$ and $W$ -algebras $W_{k} (s l_{3}, f)$

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