2006/04/30 by Alex Buchel · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.06.008
published as Nucl.Phys.B750:45-72,2006 · 38 pages, latex; v2: references added; v3: more refs, some clarifications, NPB version
arxiv created 2006/06/08 · openalex publication_date 2006/06/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss string theory alpha' corrections to charged near-extremal black 3-branes/black holes in type IIB supergravity. We find that supersymmetric global AdS5 x S5 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-nc 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 AdS5 x S5 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'.