Orbifolds of lattice vertex operator algebras at d = 48 and d = 72

Thomas Gemünden, Christoph A. Keller

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Motivated by the notion of extremal vertex operator algebras, we investigate cyclic orbifolds of vertex operator algebras coming from extremal even self-dual lattices in d=48 and d=72. In this way we construct about one hundred new examples of holomorphic VOAs with a small number of low weight states.

Original languageEnglish (US)
Pages (from-to)93-118
Number of pages26
JournalJournal of Algebra
StatePublished - Apr 1 2019


  • Lattices
  • Orbifolds
  • Vertex operator algebras

ASJC Scopus subject areas

  • Algebra and Number Theory


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