Constructing AdS_2 flow geometries

Abstract

We consider two-dimensional geometries flowing away from an asymptotically AdS${}_2$ spacetime. Macroscopically, flow geometries and their thermodynamic properties are studied from the perspective of dilaton-gravity models. We present a precise map constructing the fixed background metric from the boundary two-point function of a nearly massless matter field. We analyse constraints on flow geometries, viewed as solutions of dimensionally reduced theories, stemming from energy conditions. Microscopically, we construct computationally tractable RG flows in SYK-type models at vanishing and non-vanishing temperature. For certain regimes of parameter space, the flow geometry holographically encoding the microscopic RG flow is argued to interpolate between two (near) AdS${}_2$ spacetimes. The coupling between matter fields and the dilaton in the putative bulk is also discussed. We speculate on microscopic flows interpolating between an asymptotically AdS${}_2$ spacetime and a portion of a dS${}_2$ world.

arXiv comment46 pages

References in corpus (49)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Thermodynamics of Spacetime: The Einstein Equation of State
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• AdS/CFT Correspondence and Symmetry Breaking
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Chaos in AdS${}_2$ holography
• On the Holographic Renormalization Group
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Seeing a c-theorem with holography
• Supergravity flows and D-brane stability
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• A Generalization of Sachdev-Ye-Kitaev
• Walking, Weak first-order transitions, and Complex CFTs
• Split States, Entropy Enigmas, Holes and Halos
• Quantum Quivers and Hall/Hole Halos
• A universal result on central charges in the presence of double-trace deformations
• A Stereoscopic Look into the Bulk
• The Bulk Dual of SYK: Cubic Couplings
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• An improved correspondence formula for AdS/CFT with multi-trace operators
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Holographic Description of AdS_2 Black Holes
• Infrared Realization of dS${}_2$ in AdS${}_2$
• AdS${}_2$ Holographic Dictionary
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• Disordered Quivers and Cold Horizons
• Nuts and Bolts for Creating Space
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• De Sitter Horizons & Holographic Liquids
• Scaling BPS Solutions and pure-Higgs States
• Towards Bulk Metric Reconstruction from Extremal Area Variations
• AdS${}_2$ Holography: Mind the Cap
• Towards a Reconstruction of General Bulk Metrics
• Extracting the bulk metric from boundary information in asymptotically AdS spacetimes
• A note on the complex SYK model and warped CFTs
• Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity
• Bulk metric reconstruction from boundary entanglement
• On large $q$ expansion in the Sachdev-Ye-Kitaev model
• Marginal Deformations and Rotating Horizons
• Charged Quantum Fields in AdS${}_2$
• Perturbed Sachdev-Ye-Kitaev model: a polaron in the hyperbolic plane
• Thermodynamic Origin of the Null Energy Condition
• Thermodynamics and Many Body Chaos for generalized large q SYK models
• On $Ad{S}_2$ holography from redux, renormalization group flows and $c$-functions

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