The large N limit of orbifold vertex operator algebras

Thomas Gemünden, Christoph A. Keller

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the large N limit of permutation orbifolds of vertex operator algebras. To this end, we introduce the notion of nested oligomorphic permutation orbifolds and discuss under which conditions their fixed point VOAs converge. We show that if this limit exists, then it has the structure of a vertex algebra. Finally, we give an example based on GL (N, q) for which the fixed point VOA limit is also the limit of the full permutation orbifold VOA.

Original languageEnglish (US)
Article number104
JournalLetters in Mathematical Physics
Volume111
Issue number4
DOIs
StatePublished - Aug 2021
Externally publishedYes

Keywords

  • Holography
  • Permutation Orbifolds
  • Vertex Operator Algebras

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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