Application of a ℤ3-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices

Daisuke Sagaki, Hiroki Shimakura

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

By applying Miyamoto’s ℤ3-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices and their automorphisms of order 3, we construct holomorphic vertex operator algebras of central charge 24 whose Lie algebras of the weight one spaces are of types A62,3, E6,3G32,1, and A5,3D4,3A31,1, which correspond to No. 6, No. 17, and No. 32 on Schellekens’ list, respectively.

Original languageEnglish
Pages (from-to)1621-1646
Number of pages26
JournalTransactions of the American Mathematical Society
Volume368
Issue number3
DOIs
Publication statusPublished - 2016 Mar

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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