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.

arXiv comment36 pages, 16 figures; v2: typos corrected, references added

References in corpus (26)

• Charged AdS Black Holes and Catastrophic Holography
• Gauss-Bonnet Black Holes in AdS Spaces
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• A Correspondence Principle for Black Holes and Strings
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
• Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity and New Confining-Deconfining Phases in dual CFT
• Spacetime structure of static solutions in Gauss-Bonnet gravity: neutral case
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Thermodynamic and gravitational instability on hyperbolic spaces
• Finite temperature effective action, AdS_5 black holes, and 1/N expansion
• Spacetime structure of static solutions in Gauss-Bonnet gravity: charged case
• 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
• R-charged AdS_{5} black holes and large N unitary matrix models
• Phase Transitions in Higher Derivative Gravity
• Fine structure of Hagedorn transitions
• M-Theory and Stringy Corrections to Anti-de Sitter Black Holes and Conformal Field Theories
• String Corrections to the Hawking-Page Phase Transition
• On the Hawking-Page Transition and the Cardy-Verlinde formula
• Hagedorn divergences and tachyon potential
• The Hagedorn Transition, Deconfinement and the AdS/CFT Correspondence
• Plasma balls/kinks as solitons of large $N$ confining gauge theories

Cited by in corpus (23)

• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• 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 phase transition in higher dimensional AdS 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
• The eta (eta') gamma transition form factor and the gluon-gluon distribution amplitude
• Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Thermodynamics of Gauss-Bonnet black holes revisited
• Notes on R-charged black holes near criticality and gauge theory
• Charged anti-de Sitter scalar-tensor black holes and their thermodynamic phase structure
• Phase transition of AdS Schwarzschild black hole and gauge theory dual in presence of external string cloud
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• Thermodynamics of Large N Gauge Theories with Chemical Potentials in a 1/D Expansion
• A Comparative Note on Tunneling in AdS and in its Boundary Matrix Dual
• A note on matrix model with IR cutoff and AdS/CFT
• Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles I: thermal stability
• Phase transition in black holes
• Phase Transition Dynamics and Its Alpha' Corrections
• Off-shell phase diagram of BPS black holes in AdS${}_5$