Probing higher spin black holes from CFT

Abstract

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same quantity calculated holographically using scalar fields propagating in a charged black hole background of 3D higher spin gravity. This match serves as further evidence for the duality between W_N minimal models at large central charge and 3D higher spin gravity. It also supports a recent prescription for computing boundary correlators of multi-trace scalar primary operators in higher spin theories.

34 pages, 1 figure

References in corpus (5)

• 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
• W Symmetry and Integrability of Higher spin black holes
• Observables and Microscopic Entropy of Higher Spin Black Holes

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• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
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• Conformal perturbation theory and higher spin entanglement entropy on the torus
• Thermalization with chemical potentials, and higher spin black holes
• Higher Spin Entanglement Entropy
• Bulk from Bi-locals in Thermo Field CFT
• Modular Properties of 3D Higher Spin Theory
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Brief review on higher spin black holes
• A new spin on entanglement entropy
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• Thermofield Duality for Higher Spin Rindler Gravity
• Analysis of higher spin black holes with spin-4 chemical potential
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• Higher-spin gauge theories in three spacetime dimensions
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• Entanglement Entropy for Descendent Local Operators in 2D CFTs
• Relative entropy in higher spin holography
• Resummation of scalar correlator in higher spin black hole background
• Higher spin holography with Galilean symmetry in general dimensions
• On scalar propagators of three-dimensional higher-spin black holes