Supersymmetric SYK model and random matrix theory

Abstract

In this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the $\mathcal{N}=1$ supersymmetric generalization of the Sachdev-Ye-Kitaev (SYK) model, a toy model for the two-dimensional quantum black hole with supersymmetric constraint. Some analytical arguments and numerical results are given to show that the statistics of the supersymmetric SYK model could be interpreted as random matrix theory ensembles, with a different eight-fold classification from the original SYK model and some new features. The time-dependent evolution of the spectral form factor is also investigated, where predictions from random matrix theory are governing the late time behavior of the chaotic Hamiltonian with supersymmetry.

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Cited by in corpus (105)

• On the Dynamics of Near-Extremal Black Holes
• The Bulk Dual of SYK: Cubic Couplings
• An introduction to the SYK model
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Spectral form factors and late time quantum chaos
• Three Dimensional View of the SYK/AdS Duality
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
• Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
• Quantum ergodicity in the SYK model
• 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
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Menagerie of AdS${}_2$ boundary conditions
• Flat space holography and complex SYK
• Nearly AdS2 Sugra and the Super-Schwarzian
• Sparse Sachdev-Ye-Kitaev model, quantum chaos and gravity duals
• Probing symmetries of quantum many-body systems through gap ratio statistics
• Space-Time in the SYK Model
• Lindbladian dissipation of strongly-correlated quantum matter
• Explorations of Non-Perturbative JT Gravity and Supergravity
• 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
• Random Matrix Ensemble for the Level Statistics of Many-Body Localization
• JT Supergravity, Minimal Strings, and Matrix Models
• Towards a bulk description of higher spin SYK
• Thouless time for mass-deformed SYK
• SYK-like Tensor Models on the Lattice
• The double scaled limit of Super--Symmetric SYK models
• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Diffusion in higher dimensional SYK model with complex fermions
• Phases Of Melonic Quantum Mechanics
• Contrasting SYK-like Models
• Periodic Table of SYK and supersymmetric SYK
• Towards the Holographic Dual of N = 2 SYK
• Comments on the Random Thirring Model
• Towards a Finite-$N$ Hologram
• Supersymmetric SYK Model with Global Symmetry
• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• A JT supergravity as a double-cut matrix model
• On thermalization in the SYK and supersymmetric SYK models
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• More on the New Large $D$ Limit of Matrix Models
• Quenched vs Annealed: Glassiness from SK to SYK
• Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Chaos and random matrices in supersymmetric SYK
• Rotating Black Holes in AdS, Extremality and Chaos
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• On the replica structure of Sachdev-Ye-Kitaev model
• Conformality of $1/N$ corrections in SYK-like models
• Spectral form factor and semi-circle law in the time direction
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• Exact Embeddings of JT Gravity in Strings and M-theory
• Abelian Tensor Models on the Lattice
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Generalized conformal structure, dilaton gravity and SYK
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
• Spectral form factor in the double-scaled SYK model
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Classification of the quantum chaos in colored Sachdev-Ye-Kitaev models
• Note on global symmetry and SYK model
• Quantifying dip-ramp-plateau for the Laguerre unitary ensemble structure function
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Near Conformal Perturbation Theory in SYK Type Models
• Complete Solution of a Gauged Tensor Model
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Multi-trace Correlators in the SYK Model and Non-geometric Wormholes
• Sachdev-Ye-Kitaev model: Non-self-averaging properties of the energy spectrum
• Extended supersymmetry with central charges in Dirac action with curved extra dimensions
• A lattice formulation of N=2 supersymmetric SYK model
• Bulk Reconstruction from Generalized Free Fields
• Symmetry classification of typical quantum entanglement
• Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Sign-Problem-Free Variant of Complex Sachdev-Ye-Kitaev Model
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• Extended supersymmetry with central charges in higher dimensional Dirac action
• Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
• A route from maximal chaoticity to integrability
• Detecting quantum chaos via pseudo-entropy
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
• Extended supersymmetry in Dirac action with extra dimensions