The Continuous Orbifold of N=2 Minimal Model Holography

TL;DR

This paper demonstrates that the large level limit of N=2 Kazama-Suzuki models in holography can be understood as a continuous orbifold of free bosons and fermions, linking coset representations to orbifold sectors.

Contribution

It provides a novel interpretation of the large level limit as a continuous U(N) orbifold, connecting coset models to orbifold sectors and identifying twisted states with specific representations.

Findings

Perturbative higher spin degrees correspond to untwisted sector

Twisted sector ground states match specific coset representations

Large level limit interpreted as a continuous orbifold

Abstract

For the N=2 Kazama-Suzuki models that appear in the duality with a higher spin theory on AdS_3 it is shown that the large level limit can be interpreted as a continuous orbifold of 2N free bosons and fermions by the group U(N). In particular, we show that the subset of coset representations that correspond to the perturbative higher spin degrees of freedom are precisely described by the untwisted sector of this U(N) orbifold. We furthermore identify the twisted sector ground states of the orbifold with specific coset representations, and give various pieces of evidence in favour of this identification.