Deformation of central charges, vertex operator algebras whose Griess algebras are Jordan algebras

Takahiro Ashihara, Masahiko Miyamoto

If a vertex operator algebra $V={\oplus }_{n=0}^{\infty }{V}_n$ satisfies $\dim V_0=1,V_1=0$, then $V_2$ has a commutative (nonassociative) algebra structure called Griess algebra. One…