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arXiv · 1708.05990

On the Genus of the Moonshine Module

Gerald Höhn
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Abstract

We provide a novel and simple description of Schellekens' seventy-one affine Kac-Moody structures of self-dual vertex operator algebras of central charge 24 by utilizing cyclic subgroups of the glue codes of the Niemeier lattices with roots. We also discuss a possible uniform construction procedure of the self-dual vertex operator algebras of central charge 24 starting from the Leech lattice. This also allows us to consider the uniqueness question for all non-trivial affine Kac-Moody structures. We finally discuss our description from a Lorentzian viewpoint.

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Gerald Höhn. 2017-08-20. On the Genus of the Moonshine Module. https://arxiv.org/abs/1708.05990

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