Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras

Ching Hung Lam, Hiroki Shimakura

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this article, we develop a general technique for proving the uniqueness of holomorphic vertex operator algebras based on the orbifold construction and its “reverse” process. As an application, we prove that the structure of a strongly regular holomorphic vertex operator algebra of central charge 24 is uniquely determined by its weight 1 Lie algebra if the Lie algebra has the type E6,3G3 2,1, A6 2,3, or A5,3D4,3A3 1,1.

Original languageEnglish
Pages (from-to)7001-7024
Number of pages24
JournalTransactions of the American Mathematical Society
Volume372
Issue number10
DOIs
Publication statusPublished - 2019 Nov 15

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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