CFT duals of three-dimensional de Sitter gravity

Abstract

We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU$(2)$ WZW model in the critical level limit $k\to -2$, which corresponds to the classical gravity limit. We can generalize this dS/CFT by considering the SU$(N)$ WZW model in the critical level limit $k\to -N$, dual to the higher-spin gravity on a three-dimensional de Sitter space. We confirm that under this proposed duality the classical partition function in the gravity side can be reproduced from CFT calculations. We also point out a duality relation known in higher-spin holography provides further evidence. Moreover, we analyze two-point functions and entanglement entropy in our dS/CFT correspondence. Possible spectrum and quantum corrections in the gravity theory are discussed.

46 pages, 6 figures, minor changes, published version

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• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• Correlation functions in conformal Toda field theory I
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• de Sitter extremal surfaces
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• Wedge Holography in Flat Space and Celestial Holography
• Complex geodesics in de Sitter space
• Extracting energy via magnetic reconnection from Kerr-de Sitter black holes
• Keeping matter in the loop in dS${}_3$ quantum gravity
• Bridging the static patches: de Sitter holography and entanglement
• Volume complexity of dS bubbles
• Investigating global and topological order of states by local measurement and classical communication: Study on SPT phase diagrams by quantum energy teleportation
• Pseudo entropy under joining local quenches
• Complex saddles of three-dimensional de Sitter gravity via holography
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Three-dimensional de Sitter holography and bulk correlators at late time
• Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
• Probing de Sitter Space Using CFT States
• 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
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition