“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 13340
School of Particles and Accelerator
  Title:   Rindler/Contracted-CFT Correspondence
  Author(s): 
1.  Reza Fareghbal
2.  Ali Naseh
  Status:   Published
  Journal: JHEP
  No.:  134
  Vol.:  06
  Year:  2014
  Supported by:  IPM
  Abstract:
Taking flat-space limit (zero cosmological constant limit) of the Rindler-AdS spacetime results in the Rindler metric. According to the proposal of Flat/contracted-CFT correspondence, flat-space limit in the bulk side of asymptotically AdS spacetimes corresponds to the contraction of boundary conformal field theory. We use this proposal for the Rindler-AdS/CFT correspondence and propose a dual theory for the Rindler spacetime which is a contracted conformal field theory(CCFT. We show that the two dimensional CCFT symmetries exactly predict the same two-point functions which one may find by taking the flat-space limit of three dimensional Rindler-AdS holographic results. Using the Flat/CCFT proposal, we also calculate the three dimensional Rindler energy-momentum tensor. Since the near horizon geometry of non-extreme black holes has a Rindler part, it would be plausible to find a dual CCFT at the horizon of non-extreme black holes. Specifically, we find the correct mass of non-rotating BTZ by using our energy-momentum tensor. Moreover, the Cardy-like formula for CCFT yields the Bekenstein-Hawking entropy of non-extreme BTZ. Our current work is the first step towards describing entropy of non-extreme black holes in terms of CCFTs microstates which live on the horizon

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