A semi-local holographic minimal model

Abstract

We present a conjecture on the complete spectrum of single-trace operators in the infinite N limit of W(N) minimal model and evidences for the conjecture. We further propose that the holographic dual of W(N) minimal model in the 't Hooft limit is an unusual "semi-local" higher spin gauge theory on AdS3 x S^1. At each point on the S^1 lives a copy of three-dimensional Vasiliev theory, that contains an infinite tower of higher spin gauge fields coupled to a single massive complex scalar propagating in AdS3. The Vasiliev theories at different points on the S^1 are correlated only through the AdS3 boundary conditions on the massive scalars. All but one single tower of higher spin symmetries are broken by the boundary conditions.

31 pages; typos corrected, references added

References in corpus (4)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• The semiclassical limit of W_N CFTs and Vasiliev theory

Cited by in corpus (14)

• Higher Spins & Strings
• Large N=4 Holography
• W Symmetry and Integrability of Higher spin black holes
• Matching four-point functions in higher spin AdS_3/CFT_2
• N=1 extension of minimal model holography
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Chern-Simons theory coupled to bifundamental scalars
• Field Theory of Primaries in W_N Minimal Models
• Chaos in Three-dimensional Higher Spin Gravity
• Higher-spin gauge theories in three spacetime dimensions
• Toward a Higher-Spin Dual of Interacting Field Theories
• Wolf Space Coset Spectrum in the Large $\mathcal{N}=4$ Holography
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Ising Model on Twisted Lattice and Holographic RG flow