Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the $-1$-isometries

Abstract

In this article, we determine the automorphism groups of $14$ holomorphic vertex operator algebras of central charge $24$ obtained by applying the ${\mathbb{Z}}_2$-orbifold construction to the Niemeier lattice vertex operator algebras and lifts of the $-1$-isometries.

26 pages

References in corpus (4)

• Modular invariance of trace functions in orbifold theory
• Meromorphic c=24 Conformal Field Theories
• Conformal Field Theories, Representations and Lattice Constructions
• Certain extensions of vertex operator algebras of affine type