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.

arXiv comment50 pages plus appendixes, 11 figures. v4: typos corrected

References in corpus (120)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Unpaired Majorana fermions in quantum wires
• Chaos and Quantum Thermalization
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Average Entropy of a Subsystem
• Eternal Black Holes in AdS
• Black holes and the butterfly effect
• Lecture Notes on Holographic Renormalization
• Black Holes: Complementarity or Firewalls?
• Black holes as mirrors: quantum information in random subsystems
• Fast Scramblers
• The information paradox: A pedagogical introduction
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Holographic Entanglement Entropy: An Overview
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Chaos in AdS${}_2$ holography
• Chaos in quantum channels
• The Spectrum in the Sachdev-Ye-Kitaev Model
• On the Holographic Renormalization Group
• Localized shocks
• An Investigation of AdS${}_2$ Backreaction and Holography
• Eigenstate Thermalization Hypothesis
• Black Holes and Random Matrices
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Dilaton Gravity in Two Dimensions
• Multiple Shocks
• Two-dimensional conformal field theory and the butterfly effect
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Towards the fast scrambling conjecture
• An Apologia for Firewalls
• Holographic metals and the fractionalized Fermi liquid
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Diving into traversable wormholes
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• A Generalization of Sachdev-Ye-Kitaev
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Out-of-time-order correlators in quantum mechanics
• Non-Fermi liquid regime of a doped Mott insulator
• Slow scrambling in disordered quantum systems
• Out-of-time-ordered correlators in many-body localized systems
• Scrambling and thermalization in a diffusive quantum many-body system
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Divergence of the Classical trajectories and Weak Localization
• A remark on the AdS/CFT correspondence and the renormalization group flow
• Bi-Local Holography in the SYK Model
• On entanglement spreading in chaotic systems
• Power-law out of time order correlation functions in the SYK model
• Operator growth in the SYK model
• Many-body chaos at weak coupling
• More on Supersymmetric and 2d Analogs of the SYK Model
• Notes on the complex Sachdev-Ye-Kitaev model
• On the Dynamics of Near-Extremal Black Holes
• Entanglement Scrambling in 2d Conformal Field Theory
• The Bulk Dual of SYK: Cubic Couplings
• Onset of Random Matrix Behavior in Scrambling Systems
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Vacuum States for AdS_2 Black Holes
• Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
• The complete $1/N$ expansion of a SYK--like tensor model
• An introduction to the SYK model
• The Eigenstate Thermalization Hypothesis and Out of Time Order Correlators
• Quantum chaos on a critical Fermi surface
• Infrared Sensitivity of Unstable Vacua
• Lecture notes on interacting quantum fields in de Sitter space
• Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK
• All point correlation functions in SYK
• Bounds on chaos from the eigenstate thermalization hypothesis
• Quantum Chaos and Holographic Tensor Models
• Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• Out-of-time-ordered density correlators in Luttinger liquids
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
• Euclidean operator growth and quantum chaos
• AdS${}_2$ Holographic Dictionary
• Spectra of Operators in Large $N$ Tensor Models
• De Sitter Horizons & Holographic Liquids
• Menagerie of AdS${}_2$ boundary conditions
• On CFT and Quantum Chaos
• Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
• Out-of-time-order Operators and the Butterfly Effect
• Chaos in Classical D0-Brane Mechanics
• Quenched equals annealed at leading order in the colored SYK model
• Prismatic Large $N$ Models for Bosonic Tensors
• Towards a bulk description of higher spin SYK
• Chaos and complementarity in de Sitter space
• Spectra of Eigenstates in Fermionic Tensor Quantum Mechanics
• A note on the SYK model with complex fermions
• Phases of scrambling in eigenstates
• Wick's Theorem at Finite Temperature
• Classification of out-of-time-order correlators
• Kinetic theory for classical and quantum many-body chaos
• Regularization dependence of the OTOC. Which Lyapunov spectrum is the physical one?
• Non-Gaussian disorder average in the Sachdev-Ye-Kitaev model
• Ehrenfest times for classically chaotic systems
• $Ad{S}_2$ dilaton gravity from reductions of some nonrelativistic theories
• Supersymmetric Tensor Model at Large $N$ and Small $\epsilon$
• SYK model with quadratic perturbations: the route to a non-Fermi-liquid
• Thermalization after holographic bilocal quench
• More on the New Large $D$ Limit of Matrix Models
• Replica-nondiagonal solutions in the SYK model
• SYK Correlators for All Energies
• Anti-de Sitter holography for gravity and higher spin theories in two dimensions
• Spectrum of Majorana Quantum Mechanics with $O(4{)}^3$ Symmetry
• Majorana Fermion Quantum Mechanics for Higher Rank Tensors
• On the replica structure of Sachdev-Ye-Kitaev model
• Boundary Counterterms and the Thermodynamics of 2-D Black Holes
• Eigenstate Thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
• $Ad{S}_2$ holography is (non-)trivial for (non-)constant dilaton
• Comments on the adiabatic theorem
• Ultraviolet phenomena in AdS self-interacting quantum field theory
• Hagedorn Temperature in Large $N$ Majorana Quantum Mechanics
• Diagrammatic proof of the large $N$ melonic dominance in the SYK model

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