Higher derivative corrections to near-extremal black holes in type IIB supergravity

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'.

38 pages, latex; v2: references added; v3: more refs, some clarifications, NPB version

References in corpus (3)

• R^4, purified
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• On Euclidean and Noetherian Entropies in AdS Space

Cited by in corpus (11)

• 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
• 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
• Noncommutative $D_3$-brane, Black Holes and Attractor Mechanism
• Deconfinement Transition of AdS/QCD at $\mathcal{O}({\alpha }^{\prime 3})$
• Phase Transition Dynamics and Its Alpha' Corrections