More on Supersymmetric and 2d Analogs of the SYK Model

Abstract

In this paper, we explore supersymmetric and 2d analogs of the SYK model. We begin by working out a basis of (super)conformal eigenfunctions appropriate for expanding a four-point function. We use this to clarify some details of the 1d supersymmetric SYK model. We then introduce new bosonic and supersymmetric analogs of SYK in two dimensions. These theories consist of $N$ fields interacting with random $q$-field interactions. Although models built entirely from bosons appear to be problematic, we find a supersymmetric model that flows to a large $N$ CFT with interaction strength of order one. We derive an integral formula for the four-point function at order $1/N$, and use it to compute the central charge, chaos exponent and some anomalous dimensions. We describe a problem that arises if one tries to find a 2d SYK-like CFT with a continuous global symmetry.

93+12 pages

References in corpus (7)

• Holography from Conformal Field Theory
• An Investigation of AdS${}_2$ Backreaction and Holography
• A Generalization of Sachdev-Ye-Kitaev
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Comments on operators with large spin
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Higher Dimensional Generalizations of the SYK Model

Cited by in corpus (80)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• The statistical mechanics of near-extremal black holes
• Krylov complexity in conformal field theory
• AdS${}_3$ gravity and random CFT
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• All point correlation functions in SYK
• Universal theory of strange metals from spatially random interactions
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• Bounds for OPE coefficients on the Regge trajectory
• Dispersive SYK model: band structure and quantum chaos
• A two-way approach to out-of-time-order correlators
• CFT Unitarity and the AdS Cutkosky Rules
• Explorations of Non-Perturbative JT Gravity and Supergravity
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• JT Supergravity, Minimal Strings, and Matrix Models
• Harmonic analysis of 2d CFT partition functions
• SYK Model, Chaos and Conserved Charge
• The double scaled limit of Super--Symmetric SYK models
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Diffusion in higher dimensional SYK model with complex fermions
• Phases Of Melonic Quantum Mechanics
• Lorentzian Dynamics and Factorization Beyond Rationality
• Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models
• AdS${}_3$ wormholes from a modular bootstrap
• Dirac Fast Scramblers
• Observing black holes through holographic superconductors
• A JT supergravity as a double-cut matrix model
• Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• BPS Chaos
• Complex Sachdev-Ye-Kitaev model in the double scaling limit
• Bulk locality from the celestial amplitude
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• On Galilean conformal bootstrap
• Rotating 5D Black Holes: Interactions and deformations near extremality
• A 3d disordered superconformal fixed point
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• An obstacle to sub-AdS holography for SYK-like models
• The Shadow Formalism of Galilean CFT${}_2$
• Carrollian Supersymmetry and SYK-like models
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
• Disordered vector models: from higher spins to incipient strings
• The F-theorem in the melonic limit
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• Quantum chaos and phase transition in the Yukawa-SYK model
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• A supersymmetric SYK model with a curious low energy behavior
• Remarks on a melonic field theory with cubic interaction
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Soft modes in $\mathcal{N}=2$ SYK model
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Onset of Quantum Chaos in Random Field Theories
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Instability of complex CFTs with operators in the principal series
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• The onset of quantum chaos in disordered CFTs
• Collective density fluctuations of strange metals with critical Fermi surfaces
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
• Supersymmetric Black Holes and the SJT/nSCFT${}_1$ Correspondence
• Ensemble averages, Poisson processes and Microstates
• Ringdown in the SYK model
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
• Fractionalized Fermi liquids and the cuprate phase diagram
• Thermodynamics and dynamics of coupled complex SYK models
• Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Disordered $\mathcal{N}=(2,2)$ Supersymmetric Field Theories
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Random coupling model of turbulence as a classical Sachdev-Ye-Kitaev model
• Holographic central charge for sine dilaton gravity
• KdV conformal symmetry breaking in nearly AdS${}_2$
• A route from maximal chaoticity to integrability
• Quasiparticle tunnelling in two coupled chiral SYK model
• Sachdev-Ye-Kitaev Model in a Quantum Glassy Landscape
• Gauging the complex SYK model
• Off-diagonal coupling of supersymmetric SYK model