Simplicity of a vertex operator algebra whose Griess algebra is the Jordan algebra of symmetric matrices

Hidekazu Niibori, Daisuke Sagaki

Let $r \in \BC$ be a complex number, and $d \in \BZ_{\ge 2}$ a positive integer greater than or equal to 2. Ashihara and Miyamoto introduced a vertex operator algebra $\Vam$ of cen…