The Continuous Orbifold of N=2 Minimal Model Holography

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.

24 pages, v2: minor corrections

References in corpus (4)

• Higher Spins & Strings
• Higher spin AdS_3 holography with extended supersymmetry
• The symmetry of large N=4 holography
• Boundary conditions in Toda theories and minimal models

Cited by in corpus (9)

• Higher Spins & Strings
• Extended supersymmetry in AdS_3 higher spin theories
• Twisted sectors from plane partitions
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Chiral 2D "Strange Metals" from N = 4 SYM
• Adding Complex Fermions to the Grassmannian-like Coset Model
• The Grassmannian-like Coset Model and the Higher Spin Currents
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level
• The large level limit of Kazama-Suzuki models