Space-Time in the SYK Model

Abstract

We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of $n$-point Green's functions. This results in a dual theory with Euclidean AdS signature with additional leg-factors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.

arXiv comment24 pages, 1 figure; v2: published version in JHEP with minor corrections

References in corpus (95)

• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Black holes and the butterfly effect
• AdS Dual of the Critical O(N) Vector Model
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Black Holes and Random Matrices
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Fermionic Localization of the Schwarzian Theory
• 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
• Solving the Schwarzian via the Conformal Bootstrap
• AdS${}_2$ holography and the SYK model
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• A Stereoscopic Look into the Bulk
• Numerical study of fermion and boson models with infinite-range random interactions
• Bi-Local Holography in the SYK Model
• More on Supersymmetric and 2d Analogs of the SYK Model
• The Bulk Dual of SYK: Cubic Couplings
• Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
• The complete $1/N$ expansion of a SYK--like tensor model
• Universality in Chaos of Particle Motion near Black Hole Horizon
• AdS_4/CFT_3 Construction from Collective Fields
• Digital Quantum Simulation of Minimal AdS/CFT
• All point correlation functions in SYK
• Supersymmetric SYK model and random matrix theory
• Higher Dimensional Generalizations of the SYK Model
• Large-N Collective Fields and Holography
• Models of AdS_2 Backreaction and Holography
• Quantum Chaos and Holographic Tensor Models
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Entanglement, Holography and Causal Diamonds
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Towards a 2d QFT Analog of the SYK Model
• Approximating the Sachdev-Ye-Kitaev model with Majorana wires
• A Supersymmetric SYK-like Tensor Model
• Three Dimensional View of the SYK/AdS Duality
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
• Disrupting Entanglement of Black Holes
• Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
• Diffusion and Chaos from near AdS${}_2$ horizons
• Spectra of Operators in Large $N$ Tensor Models
• Disordered Quivers and Cold Horizons
• 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
• Menagerie of AdS${}_2$ boundary conditions
• Chaos in the black hole S-matrix
• On CFT and Quantum Chaos
• Nearly AdS2 Sugra and the Super-Schwarzian
• Correlators in tensor models from character calculus
• A Deformed Matrix Model and the Black Hole Background in Two-Dimensional String Theory
• Developments in 2D String Theory
• Ward identities and combinatorics of rainbow tensor models
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Scrambling without chaos in RCFT
• Three Dimensional View of Arbitrary $q$ SYK models
• Quenched equals annealed at leading order in the colored SYK model
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• Gravitational Scattering in the c = 1 Matrix Model
• Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
• SYK-like Tensor Models on the Lattice
• Rainbow tensor model with enhanced symmetry and extreme melonic dominance
• Vector models and generalized SYK models
• On Large $N$ Limit of Symmetric Traceless Tensor Models
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Diffusion in higher dimensional SYK model with complex fermions
• Contrasting SYK-like Models
• The $1/N$ expansion of tensor models with two symmetric tensors
• Tensor Models, Kronecker coefficients and Permutation Centralizer Algebras
• Disorder in the Sachdev-Yee-Kitaev Model
• Cut and join operator ring in Aristotelian tensor model
• A 2d/1d Holographic Duality
• Canonical Formulation of $O(N)$ Vector/Higher Spin Correspondence
• A Complex Fermionic Tensor Model in $d$ Dimensions
• Holographic impurities and Kondo effect
• Notes on $\widetilde{\mathrm{SL}}(2,\mathbb{R})$ representations
• Stringy Quantum Effects in 2-Dimensional Black-Hole
• Holography as a Gauge Phenomenon in Higher Spin Duality
• Matrix Models and Black Holes
• More on the New Large $D$ Limit of Matrix Models
• Orthogonal Bases of Invariants in Tensor Models
• Abelian Tensor Models on the Lattice
• Matrix Quantum Mechanics from Qubits
• Bulk reconstruction in AdS and Gel'fand-Graev-Radon Transform
• The $ı\epsilon$ prescription in the SYK model

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