Classification of holomorphic framed vertex operator algebras of central charge 24

Abstract

This article is a continuation of our work on the classification of holomorphic framed vertex operator algebras of central charge 24. We show that a holomorphic framed VOA of central charge 24 is uniquely determined by the Lie algebra structure of its weight one subspace. As a consequence, we completely classify all holomorphic framed vertex operator algebras of central charge 24 and show that there exist exactly 56 such vertex operator algebras, up to isomorphism.

arXiv comment26 pages

References in corpus (1)

• On triply even binary codes

Cited by in corpus (1)

• Application of a ${\mathbb{Z}}_3$-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices