Hagedorn vs. Hawking-Page transition in string theory

Abstract

We study the supergravity dual to the confinement/deconfinement phase transition for the N=4 SU(N) SYM on R x S^3 with a chemical potential conjugate to a U(1)\subset SO(6)_R charge. The appropriate supergravity system is a single charge black hole in D=5 N=8 gauged supergravity. Application of the gauge/string theory holographic renormalization approach leads to new expressions for the black hole ADM mass and its generalized free energy. We comment on the relation of this phase transition to the Hagedorn transition for strings in the maximally supersymmetric plane wave background with null RR five form field strength.

19 pages, 4 figures; v2: refs added; v3: more refs added

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• Holographic renormalization of cascading gauge theories
• Higher derivative terms including the Ramond-Ramond five-form
• N=2* hydrodynamics
• A holographic perspective on Gubser-Mitra conjecture
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Black hole mass and Hamilton-Jacobi counterterms
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• Non-extremal Charged Rotating Black Holes in Seven-Dimensional Gauged Supergravity
• Mass in anti-de Sitter spaces
• Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings
• Superentropic AdS Black Hole Shadows
• Coarse-graining 1/2 BPS geometries of type IIB supergravity
• Critical phenomena in N=4 SYM plasma
• Phase Transition of Electrically Charged Ricci-flat Black Holes
• Boundary Counterterms and the Thermodynamics of 2-D Black Holes
• Higher derivative corrections to near-extremal black holes in type IIB supergravity
• Metastability of R-Charged Black Holes
• Bubbling AdS Black Holes
• Confinement/Deconfinement Transition of Large N Gauge Theories in Perturbation Theory with N_f Fundamentals: N_f/N Finite
• Hadronic Density of States from String Theory
• Half-BPS Geometries and Thermodynamics of Free Fermions