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arXiv · 2510.09397

A class of vertex operator algebras generated by Virasoro vectors

Runkang Feng
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Abstract

In this paper, we study a class of simple OZ-type vertex operator algebras $V$ generated by simple Virasoro vectors $\omega^{ij}=\omega^{ji}$, $1\leq i<j\leq n$, $n\geq 3$. We prove that $V$ is uniquely determined by its Griess algebra $V_2$. The automorphism group of $V$ is also determined. Furthermore, we give the necessary conditions for $V$ to be unitary.

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Runkang Feng. 2025-10-10. A class of vertex operator algebras generated by Virasoro vectors. https://arxiv.org/abs/2510.09397

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