Holographic duals of near-extremal Reissner-Nordstrøm black holes

2010/01/31 by Chiang-Mei Chen, Ying-Ming Huang, Shou-Jyun Zou · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Amplitude #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Dual polyhedron #Holography #Horizon #Limit (mathematics) #Quasinormal mode #Scalar (mathematics) #Scattering amplitude #hep-th

paper · pdf · doi:10.1007/jhep03(2010)123

published as JHEP 1003:123,2010 · reference added, improper statements corrected, 17 pages, no figures

arxiv created 2010/02/09 · openalex publication_date 2010/03/01 · arxiv updated 2010/04/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the AdS₃/CFT₂ description of Reissner-Nordstrøm black holes by studying their uplifted counterparts in five dimensions. Assuming a natural size of the extra dimension, the near horizon geometries for the extremal limit are exactly AdS₃ × S². We compute the scattering amplitude of a scalar field, with a mode near threshold of frequency and extra dimensional momentum, by a near extremal uplifted black hole. The absorption cross section agrees with the two point function of the CFT dual to the scalar field.

Citations

• The CFT-interpolating black hole in three dimensions
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Extremal Kerr black hole/CFT correspondence in the five-dimensional Gödel universe
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Kerr-CFT and gravitational perturbations
• The world as a hologram
• KERR/CFT CORRESPONDENCE AND FIVE-DIMENSIONAL BMPV BLACK HOLES
• The large N limit of superconformal field theories and supergravity

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• Black hole vacua and rotation