On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry
arXiv:1606.03341 · doi:10.1088/1742-6596/698/1/012010
Abstract
We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of correspondence. We start by shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general finite mass. While this shift does not alter the geometry in that the resulting classical solution is still diffeomorphic to the NHEK solution, it does lead to a quantum theory different from that of NHEK. We obtain this quantum theory by means of a Robinson-Wilczek two-dimensional Kaluza-Klein reduction which enables us to introduce a finite regulator on the boundary and compute the full asymptotic symmetry group of the two-dimensional quantum conformal field theory on the respective boundary. The s-wave contribution of the energy-momentum-tensor of this conformal field theory, together with the asymptotic symmetries, generate a Virasoro algebra with a calculable center, which agrees with the standard Kerr/ result, and a non-vanishing lowest Virasoro eigenmode. The central charge and lowest eigenmode produce the Bekenstein-Hawking entropy and Hawking temperature for NHNEK.
arXiv commentInvited contribution to the proceedings of Quantum Fest 2015, which is dedicated to the memory of Sujeev Wickramasekara who passed away suddenly on December 28th 2015. Article based on arXiv:1206.2261
References in corpus (20)
- Black Hole Entropy from Near-Horizon Microstates
- The Kerr/CFT Correspondence
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- Black Hole Entropy from Conformal Field Theory in Any Dimension
- Relationship between Hawking Radiation and Gravitational Anomalies
- Entropy from Conformal Field Theory at Killing Horizons
- Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
- Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
- Hawking radiation from rotating black holes in anti-de Sitter spaces via gauge and gravitational anomalies
- The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
- On 4D-Hawing Radiation from Effective Action
- Near-Horizon Conformal Symmetry and Black Hole Entropy in Any Dimension
- Les Houches Lectures on Black Holes
- Comments on `` Black Hole Entropy from Conformal Field Theory in Any Dimension ''
- Gravitational anomalies: a recipe for Hawking radiation
- Extremal and nonextremal Kerr/CFT correspondences
- Entropy and Temperature From Black-Hole/Near-Horizon-CFT Duality
- A Near Horizon CFT Dual for Kerr-Newman-
- Hawking radiation, chirality, and the principle of effective theory of gravity
- Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory