Non-topological logarithmic corrections in minimal gauged supergravity

Abstract

We compute the logarithmic correction to the entropy of asymptotically AdS${}_4$ black holes in minimal $\mathcal{N}=2$ gauged supergravity. We show that for extremal black holes the logarithmic correction computed in the near horizon geometry agrees with the result in the full geometry up to zero mode contributions, thus clarifying where the quantum degrees of freedom lie in AdS spacetimes. In contrast to flat space, we observe that the logarithmic correction for supersymmetric black holes can be non-topological in AdS as it is controlled by additional four-derivative terms other than the Euler density. The available microscopic data and results in 11d supergravity indicate that the full logarithmic correction is topological, which suggests that the topological nature of logarithmic corrections could serve as a diagnosis of whether a low-energy gravity theory admits an ultraviolet completion.

63 pages; v2: typographical errors fixed

References in corpus (11)

• Towards a derivation of holographic entanglement entropy
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• xPert: Computer algebra for metric perturbation theory
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
• Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity
• Euclidean Supergravity
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Gravitational perturbations from NHEK to Kerr

Cited by in corpus (1)

• Logarithmic correction to black hole entropy in universal low-energy string theory models