Holomorphic integer graded vertex superalgebras
Representation Theory
2021-10-11 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2110.03870,
title = {Holomorphic integer graded vertex superalgebras},
author = {Jethro van Ekeren and Bely Rodríguez Morales},
journal= {arXiv preprint arXiv:2110.03870},
year = {2021}
}
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12 pages