TY - JOUR

T1 - The large N limit of orbifold vertex operator algebras

AU - Gemünden, Thomas

AU - Keller, Christoph A.

N1 - Funding Information:
We thank Jay Taylor for useful discussions. We thank Alexandre Belin and Alex Maloney for helpful discussions and comments on the draft. We thank the anonymous referees for helpful comments on the draft. TG thanks the Department of Mathematics at University of Arizona for hospitality. The work of TG is supported by the Swiss National Science Foundation Project Grant 175494.
Publisher Copyright:
© 2021, The Author(s).

PY - 2021/8

Y1 - 2021/8

N2 - 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.

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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U2 - 10.1007/s11005-021-01440-y

DO - 10.1007/s11005-021-01440-y

M3 - Article

AN - SCOPUS:85111486172

VL - 111

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 4

M1 - 104

ER -