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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.04445 |
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Table of Contents:
- Given a finite-dimensional complex simple Lie algebra $\mathfrak{g}$ and a complex number $κ$, let $V^κ(\mathfrak{g})$ be the associated universal affine vertex algebra. In [GK07], the authors gave a sufficient and necessary condition for $V^κ(\mathfrak{g})$ to be simple. In this paper, we determine the weights of singular vectors of $V^κ(\mathfrak{g})$ with minimal conformal weights, when $\mathfrak{g}$ is simply-laced and $V^κ(\mathfrak{g})$ is not simple.