Near Extremal Kerr Entropy from AdS_2 Quantum Gravity

Abstract

We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy's formula to determine the near extremal entropy. Our result is consistent with the Bekenstein-Hawking area law for near extremal Kerr black holes.

28 pages. v2: references added, typos corrected

References in corpus (14)

• Near-horizon symmetries of extremal black holes
• Surface charge algebra in gauge theories and thermodynamic integrability
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• No Dynamics in the Extremal Kerr Throat
• Kerr-CFT and gravitational perturbations
• Arithmetic of Quantum Entropy Function
• Holographic Description of AdS_2 Black Holes
• Central Charge for AdS_2 Quantum Gravity
• Another Realization of Kerr/CFT Correspondence
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Microscopic Theory of Black Hole Superradiance
• Statistical Description of Rotating Kaluza-Klein Black Holes
• On the Stress Tensor of Kerr/CFT

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