Near-horizon geometries and black hole thermodynamics in higher-derivative AdS5 supergravity

Abstract

Higher-derivative corrections in the AdS/CFT correspondence allow us to capture fner details of the dual CFT and to explore the holographic dictionary beyond the infnite N and strong coupling limits. Following an efective feld theory approach, we investigate extremal AdS black hole solutions in fve-dimensional supergravity with higher-derivative corrections. We provide a general analysis of near-horizon geometries of rotating extremal black holes and show how to obtain their corresponding charges and chemical potentials. We discuss the near-horizon solutions of the two-derivative theory, which we write using a novel parametrization that eases our computation of the higher-derivative corrections. The charges and thermodynamic properties of the black hole are computed while clarifying the ambiguities in their defnitions. The charges and potentials turn out to satisfy a near-horizon version of the frst law of thermodynamics whose interpretation we make clear. In the supersymmetric case, the results are shown to match the feld theory prediction as well as previous results obtained from the on-shell action.