Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula

Abstract

We discuss some aspects related to holography of Anti-de Sitter (AdS) dyonic hairy black holes, which break the conformal symetry of the boundary. We use counterterms for the scalar field that satisfies mixed boundary conditions to compute the Euclidean action and dual stress tensor. We apply these results to show that the Cardy-Verlinde formula is not satisfied. However, when the magnetic (or electric) charge vanishes, the conformal symmetry is preserved and the entropy of the black hole can be put in the Cardy-Verlinde form. In our analysis, there is no need of adding extra finite counterterms and, in this particular case, we explicitly show that our results match the ones obtained from using the superpotential as a counterterm.

12 pages, 0 figure

References in corpus (7)

• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Mass of asymptotically anti-de Sitter hairy spacetimes
• Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential
• New BPS solitons in N=4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory
• New non-extremal and BPS hairy black holes in gauged $\mathcal{N}=2$ and $\mathcal{N}=8$ supergravity
• Exact holographic RG flows in extended SUGRA

Cited by in corpus (2)

• Supersymmetric solitons in gauged $\mathcal{N}=8$ supergravity
• Supersymmetric smooth distributions of M2-branes as AdS solitons