AdS${}_2$ holography and the SYK model

Abstract

These are lecture notes based on a series of lectures presented at the XIII Modave Summer School in Mathematical physics aimed at PhD students and young postdocs. The goal is to give an introduction to some of the recent developments in understanding holography in two bulk dimensions, and its connection to microscopics of near extremal black holes. The first part reviews the motivation to study, and the problems (and their interpretations) with holography for AdS${}_2$ spaces. The second part is about the Jackiw-Teitelboim theory and nearly-AdS${}_2$ spaces. The third part introduces the Sachdev-Ye-Kitaev model, reviews some of the basic calculations and discusses what features make the model exciting.

Lecture notes, 58 pages. v6: further small corrections

References in corpus (11)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• More on Supersymmetric and 2d Analogs of the SYK Model
• All point correlation functions in SYK
• Chaos in the black hole S-matrix
• Space-Time in the SYK Model
• More on the New Large $D$ Limit of Matrix Models
• Bi-Local Holography in the SYK Model: Perturbations

Cited by in corpus (131)

• Quantum chaos and the complexity of spread of states
• The statistical mechanics of near-extremal black holes
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Quantum Complexity of Time Evolution with Chaotic Hamiltonians
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Global symmetry, Euclidean gravity, and the black hole information problem
• A Holographic Derivation of the Weak Gravity Conjecture
• Space-Time in the SYK Model
• Product Spectrum Ansatz and the Simplicity of Thermal States
• Complexity Growth in Integrable and Chaotic Models
• Three Dimensional View of Arbitrary $q$ SYK models
• Limits of JT gravity
• JT Supergravity, Minimal Strings, and Matrix Models
• Chaos in the butterfly cone
• Optical lattice platform for the SYK model
• New boundary conditions for AdS${}_2$
• Holographic Complexity and de Sitter Space
• Superstrata
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• From the BTZ black hole to JT gravity: geometrizing the island
• A nAttractor Mechanism for nAdS(2)/nCFT(1) Holography
• Bulk View of Teleportation and Traversable Wormholes
• $Ad{S}_2$ dilaton gravity from reductions of some nonrelativistic theories
• Pole skipping away from maximal chaos
• Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects
• Finite Energy but Infinite Entropy Production from Moving Mirrors
• Protected $SL(2,\mathbb{R})$ Symmetry in Quantum Cosmology
• Breaking away from the near horizon of extreme Kerr
• Two dimensional Nearly de Sitter gravity
• Spin structures and baby universes
• Replica-nondiagonal solutions in the SYK model
• Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
• Bounds on quantum evolution complexity via lattice cryptography
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Combinatorial aspects of the Sachdev-Ye-Kitaev model
• Random tensor networks with nontrivial links
• Pole-skipping points in 2D gravity and SYK model
• Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
• Gravitational perturbations from NHEK to Kerr
• Flat JT Gravity and the BMS-Schwarzian
• Rotating Black Holes in AdS, Extremality and Chaos
• Entanglement entropy in Jackiw-Teitelboim Gravity
• Islands in Multiverse Models
• Geometric phases distinguish entangled states in wormhole quantum mechanics
• Rotating 5D Black Holes: Interactions and deformations near extremality
• Degenerate operators in JT and Liouville (super)gravity
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Maximal Chaos from Strings, Branes and Schwarzian Action
• Quantum chaos without false positives
• Seeing behind black hole horizons in SYK
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• K-field kinks in two-dimensional dilaton gravity
• Holographic boundary states and dimensionally-reduced braneworld spacetimes
• Holographic boundary actions in AdS${}_3$/CFT${}_2$ revisited
• Near-extremal black holes at late times, backreacted
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• On 2D gauge theories in Jackiw-Teitelboim gravity
• Eigenstate Thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
• Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double
• Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Correlation functions in the Schwarzian theory
• Comments on wormholes and factorization
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• Transparentizing Black Holes to Eternal Traversable Wormholes
• On the large $D$ expansion of Hermitian multi-matrix models
• Chaos in Three-dimensional Higher Spin Gravity
• On $Ad{S}_2$ holography from redux, renormalization group flows and $c$-functions
• Normal modes for two-dimensional gravitating kinks
• Schwarzian functional integrals calculus
• Deformations of JT Gravity via Topological Gravity and Applications
• Hagedorn Temperature in Large $N$ Majorana Quantum Mechanics
• The onset of quantum chaos in disordered CFTs
• dS${}_2$ as excitation of AdS${}_2$
• Revealing the interior of black holes out of equilibrium in the SYK model
• The quantum detection of projectors in finite-dimensional algebras and holography
• The Schwarzian sector of higher spin CFTs
• Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
• Near Conformal Perturbation Theory in SYK Type Models
• Near-Extremal Fluid Mechanics
• Complete Solution of a Gauged Tensor Model
• Matching partition functions of deformed JT gravity and the cSYK model
• Near-Extremal Charged Black Holes: Greybody Factors and Evolution
• One-dimensional bosonization and the SYK model
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Quantization of Jackiw-Teitelboim gravity with a massless scalar
• 3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator
• Nonsingular black hole in two-dimensional asymptotically flat spacetime
• Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
• How to Build a Black Hole out of Instantons
• Near-extremal dynamics away from the horizon
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
• Simple rules of functional integration in the Schwarzian theory: SYK correlators
• Bulk Reconstruction from Generalized Free Fields
• Generalized dilaton gravity in 2d
• Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
• Wormhole-induced effective coupling in SYK chains
• Floquet SYK wormholes
• Approximate Quantum Codes From Long Wormholes
• Boundary correlators and the Schwarzian mode
• A Microscopic Model of Black Hole Evaporation in Two Dimensions
• Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
• SYK does not Transit Gloria Mundi just yet
• Observations on holographic aspects of four-dimensional asymptotically flat $\mathcal{N}=2$ black holes
• Semiclassical correlators in Jackiw-Teitelboim gravity
• Holographic RG flow and reparametrization invariance of Wilson Loops
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• Normal and superconducting currents through the Sachdev-Ye-Kitaev model
• Schwarzian for colored Jackiw-Teitelboim gravity
• Nearly AdS${}_2$ holography in quantum CGHS model
• The quantum $p$-spin glass model: A user manual for holographers
• Lyapunov exponents in $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim gravity
• Holographic central charge for sine dilaton gravity
• Massive fields and Wilson spools in JT gravity
• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications
• Holographic Rényi relative divergence in JT gravity
• Tensor Field Theories: Renormalization and Random Geometry
• Spacing Statistics of Energy Spectra: Random Matrices, Black Hole Thermalization, and Echoes
• Cosmology as a CFT${}_1$
• Eigenstate Thermalization in the Two-Site SYK and SYK Chain Models
• Accidental Symmetry Near Extreme Spinning Black Holes
• Josephson current through the SYK model
• AdS${}_3$ gravity and the complex SYK models
• AdS black holes in two-dimensional dilaton gravity and holography
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
• Correlation Functions and Chaotic Behavior of the SYK Chain Model in Pure States
• An analytic approach for holographic entanglement entropy at (quantum) criticality
• A note on the action with the Schwarzian at the stretched horizon
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Theory dependence of black hole interior reconstruction and the extended strong subadditivity