On the Genus of the Moonshine Module
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2017
- DOI:
- 10.48550/arXiv.1708.05990
- arXiv:
- arXiv:1708.05990
- Bibcode:
- 2017arXiv170805990H
- Keywords:
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- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 28 pages, 17 tables