Pedagogical introduction to SYK model and 2D Dilaton Gravity

Abstract

SYK model and 2D dilaton gravity have recently attracted considerable attention from the high energy and condensed matter physics community. The success of these models is due to their remarkable properties. Following the original papers, we broadly discuss the properties of these models, including large $N$ diagrammatics, emergence of conformal symmetry in the IR limit, effective action, four-point functions and chaos. Also we briefly review some recent results in the topic. On the one hand, we try to be as specific as possible, i.e. reveal every detail and loophole in the discussion. On the other hand, we expect this review to be suitable even for a reader who is not familiar with these models.

50 pages plus appendixes, 11 figures. v4: typos corrected

References in corpus (22)

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• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
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• Quantum chaos on a critical Fermi surface
• All point correlation functions in SYK
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• AdS${}_2$ Holographic Dictionary
• Menagerie of AdS${}_2$ boundary conditions
• Chaos and complementarity in de Sitter space
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• Phases of scrambling in eigenstates
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• Thermalization after holographic bilocal quench
• SYK Correlators for All Energies
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Cited by in corpus (26)

• Krylov complexity in conformal field theory
• Krylov complexity in saddle-dominated scrambling
• Quantum Dynamics in Krylov Space: Methods and Applications
• Krylov complexity and orthogonal polynomials
• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Quantum chaos without false positives
• Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
• Pairing Instabilities of the Yukawa-SYK Models with Controlled Fermion Incoherence
• Normal modes for two-dimensional gravitating kinks
• Classical and quantum butterfly effect in nonlinear vector mechanics
• The Universe from a Single Particle
• Matching partition functions of deformed JT gravity and the cSYK model
• Hayden-Preskill Recovery in Hamiltonian Systems
• Quantum discontinuity fixed point and renormalization group flow of the SYK model
• Stationary Solution to Charged Hairy Black Hole in AdS4: Kasner Interior, Rotating Shock Waves, and Fast Scrambling
• Approximate Quantum Codes From Long Wormholes
• Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
• Out of Time Order Correlation of the Hubbard Model with Random Local Disorder
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• AdS black holes in two-dimensional dilaton gravity and holography
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Spin-liquid and spin-glass behavior in quantum spin models with all-to-all p-spin interactions
• An Approach to Quantum 2D Gravity