Exact hairy black brane solutions in $Ad{S}_5$ and holographic RG flows

Abstract

We construct a general class of exact, regular black hole solutions with toroidal horizon topology in 5-dimensional AdS gravity with a self-interacting scalar field. Due to the non-trivial backreaction of the scalar field, the no-hair theorems can be evaded so that an event horizon can be formed. The scalar field is regular everywhere outside the curvature singularity and it vanishes at the boundary where the potential is finite. We study the properties of these black holes in the context of AdS/CFT duality and comment on the dual operators, which saturate the unitarity bound. We present exact expressions for the beta-function and construct a c-function that characterizes the RG flow.

11 pages, no figures; v2: small typos fixed; v3: comments and refs. added, matches the published version

References in corpus (16)

• Building an AdS/CFT superconductor
• Nonlinear Fluid Dynamics from Gravity
• Exploring improved holographic theories for QCD: Part II
• Mimicking the QCD equation of state with a dual black hole
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• Bulk viscosity of gauge theory plasma at strong coupling
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4
• Towards a Novel no-hair Theorem for Black Holes
• Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• Conformally coupled scalar black holes admit a flat horizon due to axionic charge
• Moduli and (un)attractor black hole thermodynamics
• Moduli flow and non-supersymmetric AdS attractors
• Saturating the unitarity bound in AdS/CFT_(AdS)
• Remarks on Resonant Scalars in the AdS/CFT Correspondence

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