Automorphism groups of certain orbifold vertex operator algebras arising from coinvariant lattices associated with the Leech lattice

TL;DR

This paper determines the automorphism groups of specific orbifold vertex operator algebras derived from coinvariant lattices related to the Leech lattice, contributing to the classification of such structures.

Contribution

It explicitly computes automorphism groups for orbifold VOAs associated with certain Leech lattice isometries, advancing understanding of their symmetries and classification.

Findings

Automorphism groups for orbifold VOAs in classes 3C, 5C, 11A, 23A are identified.

Results support the classification framework by Lam and Shimakura.

Provides new insights into symmetries of orbifold VOAs from coinvariant lattices.

Abstract

We determine the automorphism groups of the orbifold vertex operator algebras associated with the coinvariant lattices of isometries of the Leech lattice in the conjugacy classes 3C, 5C, 11A and 23A. These orbifold vertex operator algebras appear in a classification given by C.H. Lam and H. Shimakura.