Warped AdS_5 Black Holes and Dual CFTs

Abstract

We consider a black hole solution whose spatial boundary is a squashed three sphere in Einstein gravity with negative cosmological constant. We solve the Einstein equations numerically and find a warped AdS black hole solution with arbitrary squashing parameter. This solution becomes the ordinary AdS-Schwarzschild solution when the squashing parameter is chosen appropriately. Motivated by this fact, we study N=4 super Yang-Mills theory with zero coupling constant on a squashed three sphere and show that the thermodynamical entropy of this theory roughly agrees with that of the warped AdS black hole up to a factor of 3/4. We also study the confinement/deconfinement transition of the gauge theory. We evaluate the approximate Hawking-Page transition temperature of the warped AdS black hole and find a qualitative agreement between the transition temperatures of the gravity and the gauge theory. These results suggest a duality between the warped AdS solution and N=4 super Yang-Mills theory on a squashed three sphere.

19 pages, 7 figures;

References in corpus (30)

• Entropy and Temperature of Black 3-Branes
• Warped AdS_3 Black Holes
• Charged and rotating AdS black holes and their CFT duals
• General Kerr-NUT-AdS Metrics in All Dimensions
• Rotating Kaluza-Klein Black Holes
• Semi-classical central charge in topologically massive gravity
• 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
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Finite temperature effective action, AdS_5 black holes, and 1/N expansion
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Hopfing and Puffing Warped Anti-de Sitter Space
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Matching the Hagedorn temperature in AdS/CFT
• R-charged AdS_{5} black holes and large N unitary matrix models
• Free Fermions and Thermal AdS/CFT
• Fine structure of Hagedorn transitions
• Generalized Kerr-NUT-de Sitter metrics in all dimensions
• Phase Transitions of Large N Orbifold Gauge Theories
• Supersymmetric Gödel and warped black holes in string theory
• N=4 SYM on S^3 with Near Critical Chemical Potentials
• Dynamical aspects of the plane-wave matrix model at finite temperature
• From black strings to black holes: nuttier and squashed AdS${}_5$ solutions
• N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature
• Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories
• Distortion of Schwarzschild-anti-de Sitter black holes to black strings
• Closed String Tachyons on AdS Orbifolds and Dual Yang-Mills Instantons
• Static black holes with a negative cosmological constant: Deformed horizon and anti-de Sitter boundaries

Cited by in corpus (16)

• From black strings to black holes: nuttier and squashed AdS${}_5$ solutions
• New black holes in $D=5$ minimal gauged supergravity: Deformed boundaries and frozen horizons
• Fragile Black Holes
• Shearing Black Holes and Scans of the Quark Matter Phase Diagram
• Squashed, magnetized black holes in $D=5$ minimal gauged supergravity
• When Is Holography Consistent?
• Squashing the Boundary of Supersymmetric AdS${}_5$ Black Holes
• Fragile Black Holes and an Angular Momentum Cutoff in Peripheral Heavy Ion Collisions
• Holographic Consistency and the Sign of the Gauss-Bonnet Parameter
• Black hole solutions in d=5 Chern-Simons gravity
• Kerr Black Holes Are Not Fragile
• Universality of the Holographic Angular Momentum Cutoff
• Charged squashed black holes with negative cosmological constant in odd dimensions
• Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory
• Global study of the scalar quasi-normal modes of Kerr-AdS${}_5$ black holes: Stability, thermality, and horizon area quantization
• Einstein-Vlasov system with equal-angular momenta in ${\text{AdS}}_5$