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

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.

References in corpus (5)

• Modular invariance of trace functions in orbifold theory
• C_2-cofiniteness of cyclic-orbifold models
• Construction and Classification of Holomorphic Vertex Operator Algebras
• Cyclic orbifolds of lattice vertex operator algebras having group like fusions
• Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge $24$