A Note on Charged Black Holes in AdS space and the Dual Gauge Theories

Abstract

We study the thermodynamics and the phase structures of Reissner-Nordstrom and Born-Infeld black holes in AdS space by constructing ``off-shell'' free energies using thermodynamic quantities derived directly from the action. We then use these results to propose ``off-shell'' effective potentials for the respective boundary gauge theories. The saddle points of the potentials describe all the equilibrium phases of the gauge theories.

LaTeX, 21+1 pages, 7 figures

References in corpus (2)

• Beyond eta/s = 1/4pi
• Shear Viscosity from AdS Born-Infeld Black Holes

Cited by in corpus (4)

• Topology of critical points and Hawking-Page transition
• Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
• Fermi-like Liquid From Einstein-DBI-Dilaton System
• Off-shell phase diagram of BPS black holes in AdS${}_5$