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

dc.creatorBuchel, Alex
dc.date2006-04-24
dc.date2006-06-08
dc.date.accessioned2026-07-07T10:46:29Z
dc.date.available2026-07-07T10:46:29Z
dc.descriptionWe 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'.
dc.description38 pages, latex; v2: references added; v3: more refs, some clarifications, NPB version
dc.identifierhttps://arxiv.org/abs/hep-th/0604167
dc.identifierhttp://arxiv.org/abs/hep-th/0604167
dc.identifierNucl.Phys.B750:45-72,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.06.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183248
dc.subjectHigh Energy Physics - Theory
dc.titleHigher derivative corrections to near-extremal black holes in type IIB supergravity
dc.typetext

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