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

@inproceedings{Betsumiya2021AutomorphismGO, title={Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries}, author={Koichi Betsumiya and Ching Hung Lam and Hiroki Shimakura}, year={2021} }

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 [Hö], which are useful to analyze holomorphic vertex operator algebras of central charge 24.

## 2 Citations

Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge $24$

- Mathematics
- 2022

. We describe the automorphism groups of all holomorphic vertex operator algebras of central charge 24 with non-trivial weight one Lie algebras by using their constructions as simple current…

A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra

- Mathematics
- 2022

We give a lattice theoretical interpretation of generalized deep holes of the Leech lattice VOA V Λ . We show that a generalized deep hole deﬁnes a “true” automorphism invariant deep hole of the…

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