The large N limit of orbifold vertex operator algebras

Thomas Gemünden; Christoph A. Keller

doi:10.1007/s11005-021-01440-y

The large N limit of orbifold vertex operator algebras

Thomas Gemünden, Christoph A. Keller

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Article number	104
Journal	Letters in Mathematical Physics
Volume	111
Issue number	4
DOIs	https://doi.org/10.1007/s11005-021-01440-y
State	Published - Aug 2021
Externally published	Yes

Keywords

Holography
Permutation Orbifolds
Vertex Operator Algebras

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-021-01440-y

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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.",

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AB - 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.

KW - Holography

KW - Permutation Orbifolds

KW - Vertex Operator Algebras

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JF - Letters in Mathematical Physics

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ER -

The large N limit of orbifold vertex operator algebras

Abstract

Keywords

ASJC Scopus subject areas

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