Higher Dimensional Generalizations of the SYK Model

Abstract

We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains $N$ Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum fermions of definite chirality within each lattice site. This gives rise to an ordinary 1+1 field theory above some energy scale and a low energy SYK-like behavior. We exhibit a class of low-pass filters which give rise to a rich variety of hyperscaling behaviour in the IR. We also discuss another set of generalizations which describes probing an SYK system with an external fermion, together with the new scaling behavior they exhibit in the IR.

arXiv comment23 pages, 3 figures. Minor changes

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Cited by in corpus (112)

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• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Power-law out of time order correlation functions in the SYK model
• The statistical mechanics of near-extremal black holes
• More on Supersymmetric and 2d Analogs of the SYK Model
• On the Dynamics of Near-Extremal Black Holes
• The Bulk Dual of SYK: Cubic Couplings
• Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
• Towards a full solution of the large N double-scaled SYK model
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• An introduction to the SYK model
• Supersymmetric SYK model and random matrix theory
• Quantum Chaos and Holographic Tensor Models
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Towards a 2d QFT Analog of the SYK Model
• A Supersymmetric SYK-like Tensor Model
• Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
• Quantum holography in a graphene flake with an irregular boundary
• A universal Schwarzian sector in two-dimensional conformal field theories
• Three Dimensional View of the SYK/AdS Duality
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Dispersive SYK model: band structure and quantum chaos
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Menagerie of AdS${}_2$ boundary conditions
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Flat space holography and complex SYK
• Sparse Sachdev-Ye-Kitaev model, quantum chaos and gravity duals
• Random Matrices and Holographic Tensor Models
• Ward identities and combinatorics of rainbow tensor models
• Space-Time in the SYK Model
• SYK Models and SYK-like Tensor Models with Global Symmetry
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• Three Dimensional View of Arbitrary $q$ SYK models
• SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport
• Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence
• Towards a bulk description of higher spin SYK
• Strange metal from local quantum chaos
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions
• SYK-like Tensor Models on the Lattice
• SYK Model, Chaos and Conserved Charge
• Vector models and generalized SYK models
• Quantum Quenches and Thermalization in SYK models
• The double scaled limit of Super--Symmetric SYK models
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Interacting Majorana Fermions
• Contrasting SYK-like Models
• Diffusion in higher dimensional SYK model with complex fermions
• Quantum criticality of granular SYK matter
• Comments on the Random Thirring Model
• A new class of SYK-like models with maximal chaos
• Towards a Finite-$N$ Hologram
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• $Ad{S}_2$ dilaton gravity from reductions of some nonrelativistic theories
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Dirac Fast Scramblers
• On large $q$ expansion in the Sachdev-Ye-Kitaev model
• Supersymmetric SYK Model with Global Symmetry
• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• Complex Sachdev-Ye-Kitaev model in the double scaling limit
• Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
• Thickening and sickening the SYK model
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Two-point Functions in a Holographic Kondo Model
• Rotating Black Holes in AdS, Extremality and Chaos
• The chiral SYK model
• Conformality of $1/N$ corrections in SYK-like models
• On the replica structure of Sachdev-Ye-Kitaev model
• Abelian Tensor Models on the Lattice
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Emergent gravity from Eguchi-Kawai reduction
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
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• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Tensor Models for Black Hole Probes
• A Quantum Breakdown Model: from Many-body Localization to Chaos with Scars
• Decoherence and Microscopic Diffusion at SYK
• Schwarzian correction to quantum correlation in SYK model
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
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• Near Conformal Perturbation Theory in SYK Type Models
• Models of phase stability in Jackiw-Teitelboim gravity
• Wormhole calculus without averaging from $O(N{)}^{q-1}$ tensor model
• Partial filled Landau Level at even denominator, a vortex metal with Berry phase
• SYK/AdS duality with Yang-Baxter deformations
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
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• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
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• Super-maximal chaos and instability
• A simple model for Hawking radiation
• Information scrambling and butterfly velocity in quantum spin glass chains
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Eigenstate Thermalization in the Two-Site SYK and SYK Chain Models
• Phase Thermalization: from Fermi Liquid to Incoherent Metal
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