A class of vertex operator algebras generated by Virasoro vectors

Fuente: arXiv
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Autore principale: Feng, Runkang
Natura: Preprint
Pubblicazione: 2025
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author Feng, Runkang
author_facet Feng, Runkang
contents In this paper, we study a class of simple OZ-type vertex operator algebras $V$ generated by simple Virasoro vectors $ω^{ij}=ω^{ji}$, $1\leq i<j\leq n$, $n\geq 3$. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09397
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A class of vertex operator algebras generated by Virasoro vectors
Feng, Runkang
Quantum Algebra
In this paper, we study a class of simple OZ-type vertex operator algebras $V$ generated by simple Virasoro vectors $ω^{ij}=ω^{ji}$, $1\leq i<j\leq n$, $n\geq 3$. 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.
title A class of vertex operator algebras generated by Virasoro vectors
topic Quantum Algebra
url https://arxiv.org/abs/2510.09397