Higher derivative corrections to near-extremal black holes in type IIB supergravity
arXiv:hep-th/0604167 · doi:10.1016/j.nuclphysb.2006.06.008
Abstract
We discuss string theory alpha' corrections to charged near-extremal black 3-branes/black holes in type IIB supergravity. We find that supersymmetric global AdS_5 x S^5 geometry is not corrected to leading order in alpha', while charged or non-extremal black 3-branes/black hole geometries receive alpha' corrections. Following gauge theory-string theory correspondence the thermodynamics of these geometries is mapped to the thermodynamics of large-n_c N=4 supersymmetric Yang-Mills theory at finite (large) 't Hooft coupling with the U(1)_R-charge chemical potential. We use holographic renormalization to compute the Gibbs free energy and the ADM mass of the near-extremal solutions. The remaining thermodynamic potentials are evaluated enforcing the first law of thermodynamics. We present analytic expressions for the alpha' corrected thermodynamics of black holes in AdS_5 x S^5 and the thermodynamics of charged black 3-branes with identical chemical potentials for [U(1)_R]^3 charges and large (compare to chemical potential) temperature. We compute alpha' corrections to Hawking-Page phase transition. We find that for nonzero chemical potential thermodynamics of near-extremal black 3-brane solution receives ln T correction to leading order in alpha'.
arXiv comment38 pages, latex; v2: references added; v3: more refs, some clarifications, NPB version
References in corpus (44)
- Large N Field Theories, String Theory and Gravity
- Black Hole Entropy is Noether Charge
- A Stress Tensor for Anti-de Sitter Gravity
- The Holographic Weyl anomaly
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Charged AdS Black Holes and Catastrophic Holography
- Embedding AdS Black Holes in Ten and Eleven Dimensions
- Entropy and Temperature of Black 3-Branes
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
- Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
- Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
- Non-Extreme Black Holes of Five Dimensional N=2 AdS Supergravity
- Scales and hierarchies in warped compactifications and brane worlds
- AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States
- Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
- Cosmological and black hole brane-world Universes in higher derivative gravity
- On universality of stress-energy tensor correlation functions in supergravity
- A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
- Sound waves in strongly coupled non-conformal gauge theory plasma
- R^4, purified
- Transport properties of cascading gauge theories
- Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
- Thermodynamic and gravitational instability on hyperbolic spaces
- Black hole entropy in string-generated gravity models
- AdS_5 x S^5 Black Hole Metric at O(alpha'^3)
- Vacua of M-theory and string theory
- Holographic renormalization of cascading gauge theories
- Transport properties of N=4 supersymmetric Yang-Mills theory at finite coupling
- N=2* hydrodynamics
- Two-loop HTL Thermodynamics with Quarks
- Thermodynamics of the N=2* flow
- On a supersymmetric completion of the R^4 term in IIB supergravity
- Remarks on Two-Loop Free Energy in N=4 Supersymmetric Yang-Mills Theory at Finite Temperature
- On the Thermodynamics of Large N Noncommutative Super Yang-Mills Theory
- On Euclidean and Noetherian Entropies in AdS Space
- Thermodynamics and Stability of Hyperbolic Charged Black Holes
- Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence
- A note on supersymmetric Yang-Mills thermodynamics
- Mass in anti-de Sitter spaces
- Hagedorn vs. Hawking-Page transition in string theory
- On alpha'-corrections to D-brane solutions
- On effective action of string theory flux compactifications
- Renormalization Group Summation and the Free Energy of Hot QCD
Cited by in corpus (16)
- Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
- The shear viscosity of gauge theory plasma with chemical potentials
- Jet quenching at finite `t Hooft coupling and chemical potential from AdS/CFT
- Shear viscosity of boost invariant plasma at finite coupling
- Higher derivative terms including the Ramond-Ramond five-form
- Thermodynamics of the N=2^* strongly coupled plasma
- Second order hydrodynamics of a CFT plasma from boost invariant expansion
- Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
- Shear viscosity of CFT plasma at finite coupling
- Causal three-point functions and nonlinear second-order hydrodynamic coefficients in AdS/CFT
- Noncommutative -brane, Black Holes and Attractor Mechanism
- Quantum M-wave and Black 0-brane
- Stringy Effects and the Role of the Singularity in Holographic Complexity
- Deconfinement Transition of AdS/QCD at
- The fate of flat directions in higher derivative gravity
- Phase Transition Dynamics and Its Alpha' Corrections