Limits of Vertex Algebras and Large N Factorization

Thomas Gemünden, Christoph A. Keller

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We investigate the limit of sequences of vertex algebras. We discuss under what condition the vector space direct limit of such a sequence is again a vertex algebra. We then apply this framework to permutation orbifolds of vertex operator algebras and their large N limit. We establish that for any nested oligomorphic permutation orbifold such a large N limit exists, and we give a necessary and sufficient condition for that limit to factorize. This helps clarify the question of what VOAs can give rise to holographic conformal field theories in physics.

Original languageEnglish (US)
Pages (from-to)3123-3148
Number of pages26
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Aug 2023

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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