An introduction to the SYK model

Abstract

These notes are a short introduction to the Sachdev-Ye-Kitaev model. We discuss: SYK and tensor models as a new class of large N quantum field theories, the near-conformal invariance in the infrared, the computation of correlation functions, generalizations of SYK, and applications to AdS/CFT and strange metals.

20 pages

References in corpus (33)

• 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
• A Generalization of Sachdev-Ye-Kitaev
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• More on Supersymmetric and 2d Analogs of the SYK Model
• Many-body quantum chaos: Analytic connection to random matrix theory
• Quantum quench of the Sachdev-Ye-Kitaev Model
• All point correlation functions in SYK
• Higher Dimensional Generalizations of the SYK Model
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Diffusion and Chaos from near AdS${}_2$ horizons
• Quantum ergodicity in the SYK model
• Magnetotransport in a model of a disordered strange metal
• Strongly γ-deformed N=4 SYM as an integrable CFT
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Menagerie of AdS${}_2$ boundary conditions
• A Matrix Model for Black Hole Thermalization
• A line of CFTs: from generalized free fields to SYK
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Three Dimensional View of Arbitrary $q$ SYK models
• Towards a bulk description of higher spin SYK
• A note on the SYK model with complex fermions
• On Large $N$ Limit of Symmetric Traceless Tensor Models
• Tensorial Gross-Neveu models
• A Complex Fermionic Tensor Model in $d$ Dimensions
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• On thermalization in the SYK and supersymmetric SYK models
• $\mathcal{N}=2$ SYK model in the superspace formalism

Cited by in corpus (109)

• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Krylov complexity in conformal field theory
• Quantum Dynamics in Krylov Space: Methods and Applications
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Product Spectrum Ansatz and the Simplicity of Thermal States
• Lindbladian dynamics of the Sachdev-Ye-Kitaev model
• A Derivation of AdS/CFT for Vector Models
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Chaotic scattering of highly excited strings
• The double scaled limit of Super--Symmetric SYK models
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Dynamical quantum phase transitions in SYK Lindbladians
• From Symmetries to Commutant Algebras in Standard Hamiltonians
• Quantum scrambling and the growth of mutual information
• Spontaneous Breaking of $U(1)$ Symmetry in Coupled Complex SYK Models
• On aspects of 2-dim dilaton gravity, dimensional reduction and holography
• Genuine quantum advantage in non-linear bosonic quantum batteries
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• Deep thermalization in constrained quantum systems
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Pole-skipping points in 2D gravity and SYK model
• Rotating Black Holes in AdS, Extremality and Chaos
• Quantum Batteries: A Materials Science Perspective
• Chaos in the Quantum Field Theory $S$-matrix
• Quantizing Carrollian field theories
• Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O$(N)$ models
• Quantum chaos without false positives
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• K-field kinks in two-dimensional dilaton gravity
• (No) phase transition in tensorial group field theory
• Melonic Dominance in Subchromatic Sextic Tensor Models
• The operator growth hypothesis in open quantum systems
• Superconductivity from Luttinger surfaces: Emergent $\infty$-body SYK physics
• The shared universality of charged black holes and the many many-body SYK model
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• Quantum chaos and phase transition in the Yukawa-SYK model
• A characterization of quantum chaos by two-point correlation functions
• Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Boundary supersymmetry of 1+1 d fermionic SPT phases
• Classification of the quantum chaos in colored Sachdev-Ye-Kitaev models
• Normal modes for two-dimensional gravitating kinks
• The background field method and critical vector models
• Hagedorn Temperature in Large $N$ Majorana Quantum Mechanics
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• Classical and quantum butterfly effect in nonlinear vector mechanics
• The Loschmidt Spectral Form Factor
• Near Conformal Perturbation Theory in SYK Type Models
• Kink solutions in generalized 2D dilaton gravity
• Parallel Quantum Algorithm for Hamiltonian Simulation
• Quantum information scrambling in two-dimensional Bose-Hubbard lattices
• Near-Extremal Fluid Mechanics
• QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
• Universal hard-edge statistics of non-Hermitian random matrices
• Multi-trace Correlators in the SYK Model and Non-geometric Wormholes
• Supersymmetric Black Holes and the SJT/nSCFT${}_1$ Correspondence
• Entanglement in non-critical inhomogeneous quantum chains
• Quantum discontinuity fixed point and renormalization group flow of the SYK model
• Bounds on the ground state energy of quantum $p$-spin Hamiltonians
• Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one dimensional incoherent semimetal
• Twistor representation of Jackiw-Teitelboim gravity
• Symmetry classification of typical quantum entanglement
• Quantum Pairing Time Orders
• Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions
• Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
• Approximate Quantum Codes From Long Wormholes
• Tensor product random matrix theory
• Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry
• Large time effective kinetics $\beta$-functions for quantum (2+p)-spin glass
• Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
• Random coupling model of turbulence as a classical Sachdev-Ye-Kitaev model
• Parallelization techniques for quantum simulation of fermionic systems
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• Ordered Level Spacing Distribution in Embedded Random Matrix Ensembles
• $n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
• Disorder-free localisation in continuous-time quantum walks : Role of symmetries
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
• Quantum Mechanics from General Relativity and the Quantum Friedmann Equation
• Color decorations of Jackiw-Teitelboim gravity
• Entanglement behavior and localization properties in monitored fermion systems
• SYK model based $\beta$ regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
• Quantum simulations of complex systems
• Constructive expansion for quartic vector fields theories. I. Low dimensions
• Scale invariance beyond criticality within the mean-field analysis of tensorial field theories
• Free Energy Subadditivity for Symmetric Random Hamiltonians
• Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
• Trotter error and gate complexity of the SYK and sparse SYK models
• Approximate Quadratization of High-Order Hamiltonians for Combinatorial Quantum Optimization
• Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models
• Simulating sparse SYK model with a randomized algorithm on a trapped-ion quantum computer
• The quantum $p$-spin renormalization group in the large $N$ limit as a benchmark for functional renormalization group
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Rate Function Modelling of Quantum Many-Body Adiabaticity
• The universality class of the first levels in low-dimensional gravity
• Optimizing Sparse SYK
• Eight-fold classification of superconducting orders
• Marginal Fermi liquids from Fermi surfaces coupled via matrix boson gas
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Realizing Unitary $k$-designs with a Single Quench
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
• Fermionic Matrix Models and Bosonization