Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam, Hiroki Shimakura

Research output: Contribution to journalArticle

13 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 languageEnglish
Pages (from-to)137-111
Number of pages27
JournalAmerican Journal of Mathematics
Volume137
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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