Towards a bulk description of higher spin SYK

Abstract

We consider on the bulk side extensions of the Sachdev--Ye--Kitaev (SYK) model to Yang--Mills and higher spins. To this end we study generalizations of the Jackiw--Teitelboim (JT) model in the BF formulation. Our main goal is to obtain generalizations of the Schwarzian action, which we achieve in two ways: by considering the on-shell action supplemented by suitable boundary terms compatible with all symmetries, and by applying the Lee--Wald--Zoupas formalism to analyze the symplectic structure of dilaton gravity. We conclude with a discussion of the entropy (including log-corrections from higher spins) and a holographic dictionary for the generalized SYK/JT correspondence.

arXiv comment42 pages; v2: Typos corrected

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• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Flat space holography and complex SYK
• Holographic dual to charged SYK from 3D Gravity and Chern-Simons
• Fine Structure of Jackiw-Teitelboim Quantum Gravity
• Limits of JT gravity
• New boundary conditions for AdS${}_2$
• Edge Dynamics from the Path Integral: Maxwell and Yang-Mills
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Charged Moments in $W_3$ Higher Spin Holography
• Extended actions, dynamics of edge modes, and entanglement entropy
• Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension
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• Phases Of Melonic Quantum Mechanics
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• Breaking away from the near horizon of extreme Kerr
• Warped Schwarzian theory
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Flat JT Gravity and the BMS-Schwarzian
• Rotating Black Holes in AdS, Extremality and Chaos
• Towards higher-spin AdS${}_2$/CFT${}_1$ holography
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Chaos in Three-dimensional Higher Spin Gravity
• A Solvable Model of Flat Space Holography
• Near Conformal Perturbation Theory in SYK Type Models
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• 2D holography beyond the Jackiw-Teitelboim model
• Time-dependent $NAd{S}_2$ holography with applications
• Higher spin JT gravity and a matrix model dual
• Flat space holography in spin-2 extended dilaton-gravity
• Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics
• Generalized dilaton gravity in 2d
• Schwarzian for colored Jackiw-Teitelboim gravity
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• A so(2,2) extension of JT gravity via the Virasoro-Kac-Moody semidirect product