Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories

Abstract

We study N =4 super Yang-Mills theories on a three sphere with two kinds of chemical potentials. One is associated with the R-symmetry and the other with the rotational symmetry of S^3 (SO(4) symmetry). These correspond to the charged Kerr-AdS black holes via AdS/CFT. The exact partition functions at zero coupling are computed and the thermodynamical properties are studied. We find a nontrivial gap between the confinement/deconfinement transition line and the boundary of the phase diagram when we include more than four chemical potentials. In the dual gravity, we find such a gap in the phase diagram to study the thermodynamics of the charged Kerr-AdS black hole. This shows that the qualitative phase structures agree between the both sides. We also find that the ratio of the thermodynamical quantities is almost well-known factor 3/4 even at the low temperature.

arXiv comment40 pages, 6 figures, v2: references added, v3: typos corrected and references added

References in corpus (52)

• Large N Field Theories, String Theory and Gravity
• Charged AdS Black Holes and Catastrophic Holography
• Black Strings and p-Branes are Unstable
• An Index for 4 dimensional Super Conformal Theories
• Rotation and the AdS/CFT correspondence
• Entropy and Temperature of Black 3-Branes
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• Gauge Theories from Toric Geometry and Brane Tilings
• General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Charged and rotating AdS black holes and their CFT duals
• New Einstein-Sasaki Spaces in Five and Higher Dimensions
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Supersymmetric multi-charge AdS_5 black holes
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Five-Dimensional Gauged Supergravity Black Holes with Independent Rotation Parameters
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• Thermodynamics of spinning D3-branes
• Charged Kerr-de Sitter Black Holes in Five Dimensions
• Classical instability of Kerr-AdS black holes and the issue of final state
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Finite temperature effective action, AdS_5 black holes, and 1/N expansion
• Unstable Horizons
• Charged Rotating Black Holes in Five Dimensional U(1)^3 Gauged N=2 Supergravity
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• Blackhole/String Transition for the Small Schwarzschild Blackhole of $Ad{S}_5\times S^5$ and Critical Unitary Matrix Models
• Non-Extremal Rotating Black Holes in Five-Dimensional Gauged Supergravity
• Mass of Rotating Black Holes in Gauged Supergravities
• Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
• Remarks on Two-Loop Free Energy in N=4 Supersymmetric Yang-Mills Theory at Finite Temperature
• Superradiance and Instability of Black Holes
• Holography and Rotating AdS Black Holes
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Matching the Hagedorn temperature in AdS/CFT
• R-charged AdS_{5} black holes and large N unitary matrix models
• Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence
• Instabilities of the Small Black Hole: a view from N=4 SYM
• Free Fermions and Thermal AdS/CFT
• Black holes and universality classes of critical points
• Fine structure of Hagedorn transitions
• New Rotating Non-Extremal Black Holes in D=5 Maximal Gauged Supergravity
• Phase Transitions of Large N Orbifold Gauge Theories
• String Corrections to the Hawking-Page Phase Transition
• Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity
• N=4 SYM on S^3 with Near Critical Chemical Potentials
• Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
• Two loop partition function for large N pure Yang-Mills theory on a small three-sphere
• Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories
• Free Yang-Mills vs. Toric Sasaki-Einstein
• Phases of Thermal N=2 Quiver Gauge Theories

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• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
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• Thermodynamics of Large N Gauge Theories with Chemical Potentials in a 1/D Expansion
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• Geometric entropy and third order phase transition in d=4 N=2 SYM with flavor
• Phase Structure of Beta-deformed N=4 SYM on S^3 with Chemical Potentials
• Vacuum energy in Kerr-AdS black holes