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- Title
Limits of Vertex Algebras and Large N Factorization.
- Authors
Gemünden, Thomas; Keller, Christoph A.
- Abstract
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.
- Subjects
VOICE of America (Organization); VERTEX operator algebras; FIELD theory (Physics); ORBIFOLDS; CONFORMAL field theory; ALGEBRA; FACTORIZATION
- Publication
Communications in Mathematical Physics, 2023, Vol 401, Issue 3, p3123
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-023-04712-x