On orbifold constructions associated with the Leech lattice vertex operator algebra

Ching Hung Lam, Hiroki Shimakura

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, we study orbifold constructions associated with the Leech lattice vertex operator algebra. 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 one Lie algebra if the Lie algebra has the type A3,43A1,2, A4,52, D4,12A2,6, A6,7, A7,4A1,13, D5,8A1,2 or D6,5A1,12 by using the reverse orbifold construction. Our result also provides alternative constructions of these vertex operator algebras (except for the case A6,7) from the Leech lattice vertex operator algebra.

Original languageEnglish
Pages (from-to)261-285
Number of pages25
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume168
Issue number2
DOIs
Publication statusPublished - 2020 Mar 1

ASJC Scopus subject areas

  • Mathematics(all)

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