Towards a 2d QFT Analog of the SYK Model

Abstract

We propose a 2D QFT generalization of the Sachdev-Ye-Kitaev model, which we argue preserves most of its features. The UV limit of the model is described by $N$ copies of a topological Ising CFT. The full interacting model exhibits conformal symmetry in the IR and an emergent pseudo-Goldstone mode that arises from broken reparametrization symmetry. We find that the effective action of the Goldstone mode matches with the 3D AdS gravity action, viewed as a functional of the boundary metric. We compute the spectral density and show that the leading deviation from conformal invariance looks like a $T\bar{T}$ deformation. We comment on the relation between the IR effective action and Liouville CFT.

2+27 pages, 4 figures; v2: ref added

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Cited by in corpus (91)

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• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• 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
• The Schwarzian Theory - Origins
• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• The Schwarzian Theory - A Wilson Line Perspective
• A universal Schwarzian sector in two-dimensional conformal field theories
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• Shockwave S-matrix from Schwarzian Quantum Mechanics
• Effective Field Theory for Chaotic CFTs
• Defects in Jackiw-Teitelboim Quantum Gravity
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Flat space holography and complex SYK
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• Fine Structure of Jackiw-Teitelboim Quantum Gravity
• Space-Time in the SYK Model
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Universality and Thouless energy in the supersymmetric Sachdev-Ye-Kitaev Model
• 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
• Strange metal from local quantum chaos
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions
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• SYK Model, Chaos and Conserved Charge
• Quantum Quenches and Thermalization in SYK models
• Clocks and Rods in Jackiw-Teitelboim Quantum Gravity
• A note on the complex SYK model and warped CFTs
• Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Towards the Holographic Dual of N = 2 SYK
• A Complex Fermionic Tensor Model in $d$ Dimensions
• A new class of SYK-like models with maximal chaos
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Dirac Fast Scramblers
• On large $q$ expansion in the Sachdev-Ye-Kitaev model
• Observing black holes through holographic superconductors
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• Thickening and sickening the SYK model
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
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• Rotating Black Holes in AdS, Extremality and Chaos
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• Conformality of $1/N$ corrections in SYK-like models
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• Generalized conformal structure, dilaton gravity and SYK
• The statistical mechanics of near-BPS black holes
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Chiral Algebras of Two-Dimensional SYK Models
• Tensor Models for Black Hole Probes
• Remarks on a melonic field theory with cubic interaction
• Hartle-Hawking state and its factorization in 3d gravity
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Schwarzian correction to quantum correlation in SYK model
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• Minkowski Conformal Blocks and the Regge Limit for SYK-like Models
• Schwarzian functional integrals calculus
• An Inelastic Bound on Chaos
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• $T\bar{T}$ deformation of classical Liouville field theory
• Near Conformal Perturbation Theory in SYK Type Models
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Higher spin JT gravity and a matrix model dual
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
• One-dimensional bosonization and the SYK model
• Mapping SYK to the Sky
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• JT gravity at finite cutoff
• Conformal Bootstrap in dS/CFT and Topological Quantum Gravity
• Simple rules of functional integration in the Schwarzian theory: SYK correlators
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
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• Super-maximal chaos and instability
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• A simple model for Hawking radiation
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• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications
• Quasiparticle tunnelling in two coupled chiral SYK model