Rindler-AdS/CFT

Maulik Parikh (Department of Physics and Beyond: Center for Fundamental Concepts in Science, Arizona State University, Tempe, AZ, 85287, U.S.A.) ; Prasant Samantray (Department of Physics, Arizona State University, Tempe, AZ, 85287, U.S.A.)

In anti-de Sitter space a highly accelerating observer perceives a Rindler horizon. The two Rindler wedges in AdS d+1 are holographically dual to an entangled conformal field theory that lives on two boundaries with geometry ℝ × H d−1. For AdS3, the holographic duality is especially tractable, allowing quantum-gravitational aspects of Rindler horizons to be probed. We recover the thermodynamics of Rindler-AdS space directly from the boundary conformal field theory. We derive the temperature from the two-point function and obtain the Rindler entropy density precisely, including numerical factors, using the Cardy formula. We also probe the causal structure of the spacetime, and find from the behavior of the one-point function that the CFT “knows” when a source has fallen across the Rindler horizon. This is so even though, from the bulk point of view, there are no local signifiers of the presence of the horizon. Finally, we discuss an alternate foliation of Rindler-AdS which is dual to a CFT living in de Sitter space.

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      "surname": "Samantray", 
      "email": "prshkumar@gmail.com", 
      "full_name": "Samantray, Prasant", 
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      "value": "In anti-de Sitter space a highly accelerating observer perceives a Rindler horizon. The two Rindler wedges in AdS  d+1 are holographically dual to an entangled conformal field theory that lives on two boundaries with geometry \u211d \u00d7 H  d\u22121. For AdS3, the holographic duality is especially tractable, allowing quantum-gravitational aspects of Rindler horizons to be probed. We recover the thermodynamics of Rindler-AdS space directly from the boundary conformal field theory. We derive the temperature from the two-point function and obtain the Rindler entropy density precisely, including numerical factors, using the Cardy formula. We also probe the causal structure of the spacetime, and find from the behavior of the one-point function that the CFT \u201cknows\u201d when a source has fallen across the Rindler horizon. This is so even though, from the bulk point of view, there are no local signifiers of the presence of the horizon. Finally, we discuss an alternate foliation of Rindler-AdS which is dual to a CFT living in de Sitter space."
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Published on:
19 October 2018
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2018 (2018)
Issue 10
Pages 1-27
DOI:
https://doi.org/10.1007/JHEP10(2018)129
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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