On the Phase Transition of Conformal Field Theories with Holographic Duals

Abstract

We study the thermodynamic relations of conformal field theories (CFTs), which are holographically dual to anti-de Sitter-Schwarzschild bulk space-times. A Cardy-Verlinde formula is derived thermodynamically for CFTs living on S^n x R with S^n having an arbitrary radius. The Hawking-Page phase transition of the CFT is described using Landau's theory of phase transitions, and an alternative derivation of the Cardy-Verlinde formula is presented. The condensate in the high temperature phase is identified as being composed of radiational matter.

10 pages, final version to appear on PLB

References in corpus (7)

• CFT and Entropy on the Brane
• Phase Transitions for Flat adS Black Holes
• Cardy-Verlinde Formula and AdS Black Holes
• Anti-de Sitter no-hair, AdS/CFT and the brane-world
• Holography and Stiff-matter on the Brane
• The Cardy-Verlinde Formula and Taub-Bolt-AdS Spacetimes
• Casimir Effect of Graviton and the Entropy Bound

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• Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
• On the Cardy-Verlinde Entropy Formula in Viscous Cosmology
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Phase Transitions in Higher Derivative Gravity
• Phase transition for black holes with scalar hair and topological black holes
• Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
• Cardy-Verlinde Formula and entropy bounds in Kerr-Newman-AdS${}_4$/dS${}_4$ black holes backgrounds
• Thermodynamics of Dual CFTs for Kerr-AdS Black Holes
• Kinetics of Hawking-Page phase transition with the non-Markovian effects
• On the Hawking-Page Transition and the Cardy-Verlinde formula
• The Cardy-Verlinde Formula and Asymptotically de Sitter Brane Universe
• CFT on the Brane with a Reissner-Nordstrom-de Sitter Twist
• Tachyon condensation and off-shell gravity/gauge duality
• A CFT description of the BTZ black hole: topology versus geometry (or thermodynamics versus statistical mechanics
• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
• Logarithmic corrections to entropy for black holes with hyperbolic horizon
• Off-shell phase diagram of BPS black holes in AdS${}_5$