Non-abelian orbifolds of lattice vertex operator algebras

Thomas Gemünden, Christoph A. Keller

Research output: Contribution to journalArticlepeer-review


We construct orbifolds of holomorphic lattice vertex operator algebras for non-abelian finite automorphism groups G. To this end, we construct twisted modules for automorphisms g together with the projective representation of the centralizer of g on the twisted module. This allows us to extract the irreducible modules of the fixed-point VOA VG, and to compute their characters and modular transformation properties. We then construct holomorphic VOAs by adjoining such modules to VG. Applying these methods to extremal lattices in d=48 and d=72, we construct more than fifty new holomorphic VOAs of central charge 48 and 72, many of which have a very small number of light states.

Original languageEnglish (US)
Pages (from-to)656-696
Number of pages41
JournalJournal of Algebra
StatePublished - Nov 1 2021
Externally publishedYes


  • Conformal field theory
  • Conformal packing
  • Orbifold theory
  • Vertex operator algebras

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Non-abelian orbifolds of lattice vertex operator algebras'. Together they form a unique fingerprint.

Cite this