On the coset duals of extended higher spin theories

Abstract

We study the holographic duality between the M x M matrix extension of Vasiliev higher spin theories on AdS3 and the large N limit of SU(N+M)/SU(N) x U(1) type cosets. We present a simplified proof for the agreement of the spectra and clarify the relation between this duality and the version in which the cosets are replaced by Kazama-Suzuki models of Grassmannian type.

27 pages, 1 table

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Symmetries of Holographic Minimal Models
• Higher Spins in AdS and Twistorial Holography
• Quantum W-symmetry in AdS_3
• Even spin minimal model holography

Cited by in corpus (20)

• Higher Spins & Strings
• Higher spin AdS_3 holography with extended supersymmetry
• The symmetry of large N=4 holography
• Extended supersymmetry in AdS_3 higher spin theories
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Higher spins in the symmetric orbifold of K3
• Rectangular W-(super)algebras and their representations
• The Continuous Orbifold of N=2 Minimal Model Holography
• The large $\mathcal{N}=4$ superconformal ${\mathcal{W}}_{\infty }$ algebra
• Higher Spin Currents in Wolf Space for Generic N
• Higher Spin Currents in Orthogonal Wolf Space
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Higgs phenomenon for higher spin fields on AdS_3
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Even spin $\mathcal{N}=4$ holography
• Conformal embeddings and higher-spin bulk duals
• Symmetry Algebras of Stringy Cosets
• Higher spin holography with Galilean symmetry in general dimensions
• The Grassmannian VOA
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level