Conformal Invariance and Near-Extreme Rotating AdS Black Holes

We obtain retarded Green’s functions for massless scalar fields in the background of near-extreme, nearhorizon rotating charged black holes of five-dimensional minimal gauged supergravity. The radial part of the (separable) massless Klein-Gordon equation in such general black hole backgrounds is Heun’s equation, due to the singularity structure associated with the three black hole horizons. On the other hand, we find the scaling limit for the near-extreme, near-horizon background where the radial equation reduces to a hypergeometric equation whose SL(2,R)2 symmetry signifies the underlying two-dimensional conformal invariance, with the two sectors governed by the respective Frolov-Thorne temperatures. Disciplines Physical Sciences and Mathematics | Physics Comments Birkandan, T. & Cvetič, M. (2011). Conformal invariance and near-extreme rotating AdS black holes. Phys. Rev. D 84, 044018. http://dx.doi.org/10.1103/PhysRevD.84.044018 © 2011 American Physical Society This journal article is available at ScholarlyCommons: http://repository.upenn.edu/physics_papers/216 Conformal invariance and near-extreme rotating AdS black holes Tolga Birkandan and Mirjam Cvetič Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA Department of Physics, Istanbul Technical University, Istanbul 34469, Turkey Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia (Received 23 June 2011; published 4 August 2011) We obtain retarded Green’s functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black holes of five-dimensional minimal gauged supergravity. The radial part of the (separable) massless Klein-Gordon equation in such general black hole backgrounds is Heun’s equation, due to the singularity structure associated with the three black hole horizons. On the other hand, we find the scaling limit for the near-extreme, near-horizon background where the radial equation reduces to a hypergeometric equation whose SLð2;RÞ2 symmetry signifies the underlying two-dimensional conformal invariance, with the two sectors governed by the respective Frolov-Thorne temperatures. DOI: 10.1103/PhysRevD.84.044018 PACS numbers: 04.70.Dy, 04.50. h, 04.65.+e, 11.25. w