The Surprising Effectiveness of Weyl Gravity in Probing Quantum Corrections to AdS Black Holes

Abstract

Computing leading higher curvature contributions to thermodynamic quantities of AdS black hole is drastically simplified once the higher curvature terms are expressed in terms of powers of Weyl tensor by applying proper field redefinitions, avoiding the usual complications caused by higher derivative Gibbons-Hawking-York (GHY) term or surface counterterms. We establish the method by computing the Euclidean action of general rotating AdS black holes in five dimensional quadratic curvature theories with or without supersymmetry and verifying the results numerically. Our result is the state of the art for charged rotating AdS black holes in five dimensional minimal gauged supergravity including corrections from all three supersymmetric curvature squared terms. Our approach facilitates precision tests in the AdS/CFT correspondence and should be applicable in diverse dimensions.

5 pages, 1 figures. Clarifications and references added. Version accepted in PRD Letters

References in corpus (14)

• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• Critical Gravity in Four Dimensions
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• EFT and the SUSY Index on the 2nd Sheet
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Higher-Derivative Corrections and AdS${}_5$ Black Holes
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Higher derivative contributions to black hole thermodynamics at NNLO
• Einstein Gravity from Conformal Gravity in 6D
• On the Ghost Problem of Conformal Gravity
• Brief Note on AMD Conserved Quantities in Quadratic Curvature Theories
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• Higher-derivative corrections to flavoured BPS black hole thermodynamics and holography
• Conformal Renormalization of topological black holes in AdS${}_6$

Cited by in corpus (12)

• Background subtraction method is not only much simpler, but also as applicable as covariant counterterm method
• Higher derivative corrections to Kerr-AdS black hole thermodynamics
• Leading Higher Derivative Corrections to Multipole Moments of Kerr-Newman Black Hole
• Torus reduction of maximal conformal supergravity
• First order corrections to black hole thermodynamics: a simple approach enhanced
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities
• On five-dimensional curvature squared supergravity and holography
• Revisiting a family of five-dimensional charged, rotating black holes
• Quantum gravitational corrections to Reissner-Nordström black hole thermodynamics and their implications for the weak gravity conjecture
• Holographic origin of $a$-maximization and higher-derivative AdS${}_5$/CFT${}_4$