2016/03/01 by Ananda Guneratne, Luis G. Rodríguez, Leo Rodriguez +3
Mathematics · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Central charge #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geometry #Horizon #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Rotating black hole #Virasoro algebra #hep-th
paper · pdf · doi:10.1088/1742-6596/698/1/012010
published as Journal of Physics: Conference Series 698 (2016) 012010 · Invited 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
openalex publication_date 2016/03/01 · arxiv created 2016/06/10 · arxiv updated 2016/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of AdS 2 /CFT 1 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 AdS 2 boundary and compute the full asymptotic symmetry group of the two-dimensional quantum conformal field theory on the respective AdS 2 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/ CFT result, and a non-vanishing lowest Virasoro eigenmode. The central charge and lowest eigenmode produce the Bekenstein-Hawking entropy and Hawking temperature for NHNEK.