Holomorphic integer graded vertex superalgebras

Published 8 Oct 2021 in math.RT and math.QA | (2110.03870v1)

Abstract: In this note we study holomorphic integer graded vertex superalgebras. We prove that all such vertex superalgebras of central charge 8 and 16 are purely even. For the case of central charge 24 we prove that the weight-one Lie superalgebra is either zero, of superdimension 24, or else is one of an explicit list of 1332 semisimple Lie superalgebras.

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