Phase transitions in higher derivative gravity and gauge theory: R-charged black holes

Abstract

This is a continuation of our earlier work where we constructed a phenomenologically motivated effective action of the boundary gauge theory at finite temperature and finite gauge coupling on $S^3\times S^1$. In this paper, we argue that this effective action qualitatively reproduces the gauge theory representing various bulk phases of R-charged black hole with Gauss-Bonnet correction. We analyze the system both in canonical and grand canonical ensemble.

36 pages, 16 figures; v2: typos corrected, references added

References in corpus (4)

• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Blackhole/String Transition for the Small Schwarzschild Blackhole of $Ad{S}_5\times S^5$ and Critical Unitary Matrix Models
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Fine structure of Hagedorn transitions

Cited by in corpus (13)

• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• Topology of critical points and Hawking-Page transition
• Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
• Thermodynamics of Gauss-Bonnet black holes revisited
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• Phase transition in black holes
• Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles I: thermal stability
• Phase Transition Dynamics and Its Alpha' Corrections
• Off-shell phase diagram of BPS black holes in AdS${}_5$