Flat space holography and complex SYK

Abstract

We provide the first steps towards a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by a conformally transformed version of the matterless Callan-Giddings-Harvey-Strominger model. The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us, see 1908.08089.

8pp, v2: added ref

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Cited by in corpus (44)

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• Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
• Limits of JT gravity
• New boundary conditions for AdS${}_2$
• Conservation and Integrability in Lower-Dimensional Gravity
• Extended actions, dynamics of edge modes, and entanglement entropy
• On Free Energy for Deformed JT Gravity
• Symmetries of the Black Hole Interior and Singularity Regularization
• Near-Extremal Limits of de Sitter Black Holes
• Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
• Flat JT Gravity and the BMS-Schwarzian
• From black holes to baby universes in CGHS gravity
• Half-wormholes in nearly AdS${}_2$ holography
• A Celestial Matrix Model
• Universal flow equations and chaos bound saturation in 2d dilaton gravity
• A Matrix Model for Flat Space Quantum Gravity
• A Solvable Model of Flat Space Holography
• Dynamical symmetries of homogeneous minisuperspace models
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• 2D holography beyond the Jackiw-Teitelboim model
• dS${}_2$ as excitation of AdS${}_2$
• Near Conformal Perturbation Theory in SYK Type Models
• Dilaton gravity with a boundary: from unitarity to black hole evaporation
• Extended Nappi-Witten Geometry for the Fractional Quantum Hall Effect
• Flat space holography in spin-2 extended dilaton-gravity
• Gravity as an ensemble and the moment problem
• Classification of Conformal Carroll Algebras
• Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
• Thermodynamic and Real-time Dynamic Properties of Complex Sachdev-Ye-Kitaev Model
• Scrambling in charged hairy black holes and the Kasner interior
• One-loop partition function of gravity with leaky boundary conditions
• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics
• Generalized dilaton gravity in 2d
• JT gravity and near-extremal thermodynamics for Kerr black holes in $Ad{S}_{4,5}$ for rotating perturbations
• Generalized Schwarzians
• $\mathcal{N}=4$ supersymmetric Schwarzian with $D(1,2;\alpha )$ symmetry
• Holography in CGHS supergravity
• Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity
• AdS${}_3$ gravity and the complex SYK models
• Replicas for Random Matrices
• CFT reconstruction of local bulk operators in half-Minkowski space
• Unimodular time in JT gravity: a holographic clock
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities