The classification of vertex operator algebras of OZ-type generated by Ising vectors of σ-type

Abstract

We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of σ-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, C2-cofinite and unitary, that is, they have compact real forms generated by Ising vectors of σ-type over the real numbers.

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