Comments on Entanglement Entropy in the dS/CFT Correspondence

Abstract

We consider the entanglement entropy in the dS/CFT correspondence.In Einstein gravity on de Sitter spacetime we propose the holographic entanglement entropy as the analytic continuation of the extremal surface in Euclidean anti-de Sitter spacetime.Even though dual conformal field theories for Einstein gravity on de Sitter spacetime have not been known yet,we analyzed the free $Sp(N)$ model dual to Vasiliev's higher spin gauge theory as a toy model.In this model we confirmed the behaviour similar to our holographic result from Einstein gravity.

arXiv comment9 pages, v2: title changed, minor changes, references added, v3: published version

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• De Sitter Space and Entanglement
• On holographic time-like entanglement entropy
• Non-local Entanglement and Fast Scrambling in De-Sitter Holography
• Wedge Holography in Flat Space and Celestial Holography
• de Sitter space and extremal surfaces for spheres
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• Complex saddles of three-dimensional de Sitter gravity via holography
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• Probing de Sitter Space Using CFT States
• Unitarity of Symplectic Fermion in $\alpha$-vacua with Negative Central Charge
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• $dS$ extremal surfaces, replicas, boundary Renyi entropies in $dS/CFT$ and time entanglement
• Non-equilibrium dynamics in Holography
• Einstein's equations and the pseudo-entropy of pseudo-Riemannian information manifolds
• Entangled universes
• Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy