Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
arXiv:0806.2314 · doi:10.1143/PTP.120.473
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.
40 pages, 6 figures, v2: references added, v3: typos corrected and references added
References in corpus (24)
- 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
- Black hole thermodynamics from simulations of lattice Yang-Mills theory
- 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
- 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 and Critical Unitary Matrix Models
- Non-Extremal Rotating Black Holes in Five-Dimensional Gauged Supergravity
- Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
- Superradiance and Instability of Black Holes
- Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
- Matching the Hagedorn temperature in AdS/CFT
- 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
- 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