A class of vertex operator algebras generated by Virasoro vectors

Runkang Feng

paper

A class of vertex operator algebras generated by Virasoro vectors

arXiv:2510.09397

Abstract

In this paper, we study a class of simple OZ-type vertex operator algebras $V$ generated by simple Virasoro vectors $ω^{ij} = ω^{j i}$ , $1 \leq i < j \leq n$ , $n \geq 3$ . 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.