Vertex operator algebras generated by Ising vectors of $σ$-type (1803.01385v1)

Abstract: We prove the uniqueness of the simple vertex operator algebra of OZ-type generated by Ising vectors of $\sigma$-type. We also prove that the simplicity can be omitted if the Griess algebra is isomorphic to the Matsuo algebra associated with the root system of type $A_n$.