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arXiv · 2110.03870

Holomorphic integer graded vertex superalgebras

Jethro van Ekeren·Bely Rodríguez Morales
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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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Jethro van Ekeren, Bely Rodríguez Morales. 2021-10-08. Holomorphic integer graded vertex superalgebras. https://arxiv.org/abs/2110.03870

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