Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam; Hiroki Shimakura

doi:10.1353/ajm.2015.0001

Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam, Hiroki Shimakura

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	137-111
Number of pages	27
Journal	American Journal of Mathematics
Volume	137
Issue number	1
DOIs	https://doi.org/10.1353/ajm.2015.0001
Publication status	Published - 2015 Jan 1

ASJC Scopus subject areas

Mathematics(all)

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