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arXiv · 2105.04191

Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries

Koichi Betsumiya·Ching Hung Lam·Hiroki Shimakura
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Abstract

We determine the automorphism groups of the cyclic orbifold vertex operator algebras associated with coinvariant lattices of isometries of the Leech lattice in the conjugacy classes $4C,6E,6G,8E$ and $10F$. As a consequence, we have determined the automorphism groups of all the $10$ vertex operator algebras in [H\"o], which are useful to analyze holomorphic vertex operator algebras of central charge $24$.

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Koichi Betsumiya, Ching Hung Lam, Hiroki Shimakura. 2021-05-10. Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries. https://arxiv.org/abs/2105.04191

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