Jingtian Song

collaborators

2 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.QA2024

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…

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

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

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