Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes

Abstract

We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS${}_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the boundary conformal field theory. The results from these three different approaches match exactly, giving us a unique and universal expression for the entropy and the microstate counting of near-extremal AdS black holes via the AdS/CFT correspondence. In the second method, we extend the Kerr/CFT correspondence to the near-extremal case to compute the left and right central charges. We also use hidden conformal symmetry of the near-horizon geometry to compute the Frolov-Thorne temperatures. From the results of the near-extremal AdS${}_4$ black hole entropy, we provide a microscopic foundation for Hawking radiation.

25 pages, 2 figures; v2: Sec. 2.1 and Sec. 2.3 updated; v3: published version in JHEP, minor changes in Sec. 2 and 3

References in corpus (11)

• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions
• 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
• Thermodynamics at the BPS bound for Black Holes in AdS
• Gravitational Cardy Limit and AdS Black Hole Entropy
• New Near Horizon Limit in Kerr/CFT
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• The 5d Superconformal Index at Large $N$ and Black Holes
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation

Cited by in corpus (6)

• The emergence of universal relations in the AdS black holes thermodynamics
• Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS${}_5$
• The extremal Kerr entropy in higher-derivative gravities
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity