The Large $N$ Limit of Orbifold Vertex Operator Algebras
Quantum Algebra
2021-09-09 v2 High Energy Physics - Theory
Combinatorics
Abstract
We investigate the large 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 for which the fixed point VOA limit is also the limit of the full permutation orbifold VOA.
Keywords
Cite
@article{arxiv.1912.07643,
title = {The Large $N$ Limit of Orbifold Vertex Operator Algebras},
author = {Thomas Gemünden and Christoph A. Keller},
journal= {arXiv preprint arXiv:1912.07643},
year = {2021}
}
Comments
12 pages. Added examples, elaborated on some of the arguments. Version published in Letters in Mathematical Physics