De Sitter Horizons & Holographic Liquids

Abstract

We explore asymptotically AdS${}_2$ solutions of a particular two-dimensional dilaton-gravity theory. In the deep interior, these solutions flow to the cosmological horizon of dS${}_2$. We calculate various matter perturbations at the linearised and non-linear level. We consider both Euclidean and Lorentzian perturbations. The results can be used to characterise the features of a putative dual quantum mechanics. The chaotic nature of the de Sitter horizon is assessed through the soft mode action at the AdS${}_2$ boundary, as well as the behaviour of shockwave type solutions.

37 pages, 7 figures; v2: minor corrections; v3: updated references, new Penrose diagram and minor comments added to match published version; v4: Acknowledgement added

References in corpus (8)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Micromanaging de Sitter holography
• De Sitter Holography and Entanglement Entropy
• Quasinormal modes of D-dimensional de Sitter spacetime
• A new wormhole solution in de Sitter space
• On the interior geometry of a typical black hole microstate
• Towards non-AdS Holography via the Long String Phenomenon

Cited by in corpus (45)

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• Defects in Jackiw-Teitelboim Quantum Gravity
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• The central dogma and cosmological horizons
• Dilaton-gravity, deformations of the minimal string, and matrix models
• Entanglement in De Sitter Space
• Chaos and complementarity in de Sitter space
• Holographic Complexity and de Sitter Space
• Non-local Entanglement and Fast Scrambling in De-Sitter Holography
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Holographic Complexity in dS${}_{d+1}$
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Finite Features of Quantum De Sitter Space
• Three-dimensional de Sitter horizon thermodynamics
• Constructing AdS_2 flow geometries
• Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
• Notes on Matrix Models
• Interpolating geometries and the stretched dS${}_2$ horizon
• The Cosmological Switchback Effect
• Tensors and Spinors in de Sitter Space
• Complex geodesics in de Sitter space
• An Outsider's Perspective on Information Recovery in de Sitter Space
• Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
• Charged Quantum Fields in AdS${}_2$
• Islands in Multiverse Models
• Traversable wormholes in AdS and bounds on information transfer
• Chaotic Motion near Black Hole and Cosmological Horizons
• An invitation to the principal series
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Volume complexity of dS bubbles
• Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory
• Universal flow equations and chaos bound saturation in 2d dilaton gravity
• One-dimensional Quantum Gravity and the Schwarzian theory
• Classical and quantum butterfly effect in nonlinear vector mechanics
• dS${}_2$ as excitation of AdS${}_2$
• The Cosmological Switchback Effect II
• Shocks and Information Exchange in de Sitter Space
• Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
• Two-Dimensional Dilaton Gravity Theory and Lattice Schwarzian Theory
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy