De Sitter holography and entanglement entropy

A bstract We propose a new example of entanglement knitting spacetime together, satisfying a series of checks of the corresponding von Neumann and Renyi entropies. The conjectured dual of de Sitter in d + 1 dimensions involves two coupled CFT sectors constrained by residual d -dimensional gravity. I...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2018; no. 7; pp. 1 - 24
Main Authors Dong, Xi, Silverstein, Eva, Torroba, Gonzalo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Black Holes
Classical and Quantum Gravitation
Conformal Field Theory
Elementary Particles
Energy levels
Entanglement
Gauge-gravity correspondence
High energy physics
Hilbert space
Holography
Knitting
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Gauge-gravity correspondence
AdS-CFT Correspondence
Conformal Field Theory
Black Holes
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Summary:A bstract We propose a new example of entanglement knitting spacetime together, satisfying a series of checks of the corresponding von Neumann and Renyi entropies. The conjectured dual of de Sitter in d + 1 dimensions involves two coupled CFT sectors constrained by residual d -dimensional gravity. In the d = 2 case, the gravitational constraints and the CFT spectrum are relatively tractable. We identify a finite portion of each CFT Hilbert space relevant for de Sitter. Its maximum energy level coincides with the transition to the universal Cardy behavior for theories with a large central charge and a sparse light spectrum, derived by Hartman, Keller, and Stoica. Significant interactions between the two CFTs, derived previously for other reasons, suggest a maximally mixed state upon tracing out one of the two sectors; we derive this by determining the holographic Renyi entropies. The resulting entanglement entropy matches the Gibbons-Hawking formula for de Sitter entropy, including the numerical coefficient. Finally, we interpret the Gibbons-Hawking horizon entropy in terms of the Ryu-Takayanagi entropy, and explore the time evolution of the entanglement entropy.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2018)050