Rindler-AdS/CFT

Abstract

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 x H_{d-1}. For AdS_3, 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.

29 Pages, 4 Figures, citations added

References in corpus (9)

• Holographic representation of local bulk operators
• Seeing a c-theorem with holography
• An Infalling Observer in AdS/CFT
• Rindler Quantum Gravity
• Holographic models of de Sitter QFTs
• Insightful D-branes
• Quantitative approaches to information recovery from black holes
• Accelerating Branes and Brane Temperature
• Brane-World Motion in Compact Dimensions

Cited by in corpus (17)

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• Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
• AdS one-loop partition functions from bulk and edge characters
• Modular Hamiltonian for (holographic) excited states
• Rindler Bulk Reconstruction and Subregion Duality in AdS/CFT
• Time dependence of reflected entropy in rational and holographic conformal field theories
• Holographic Thermal Correlators for Hyperbolic $CFT$s
• The first law of differential entropy and holographic complexity
• Majorana quanta, string scattering, curved spacetimes and the Riemann Hypothesis
• Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes
• On Aspects of Spontaneous Symmetry Breaking in Rindler and Anti-de Sitter spacetimes for the $O(N)$ Linear Sigma Model
• Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime
• Squashed Entanglement from Generalized Rindler Wedge
• Wormholes, geons, and the illusion of the tensor product
• Canonical Quantization of the U(1) Gauge Field in the right Rindler-wedge in the Rindler Coordinates
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Canonical Quantization of the U(1) Gauge Field in the Rindler Coordinates