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.

arXiv comment24 pages, v2: minor corrections

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Cited by in corpus (15)

• Higher Spins & Strings
• String Theory as a Higher Spin Theory
• Extended supersymmetry in AdS_3 higher spin theories
• Higher spins in the symmetric orbifold of K3
• Higher spin algebras and large $\mathcal{N}=4$ holography
• Twisted sectors from plane partitions
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• The symmetric orbifold of N=2 minimal models
• Even spin $\mathcal{N}=4$ holography
• Chiral 2D "Strange Metals" from N = 4 SYM
• Adding Complex Fermions to the Grassmannian-like Coset Model
• Non-Abelian T-duality and Modular Invariance
• The Grassmannian-like Coset Model and the Higher Spin Currents
• The large level limit of Kazama-Suzuki models
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level