SYK-like Tensor Models on the Lattice

Abstract

We study large $N$ tensor models on the lattice without disorder. We introduce techniques which can be applied to a wide class of models, and illustrate it by studying some specific rank-3 tensor models. In particular, we study Klebanov-Tarnopolsky model on lattice, Gurau-Witten model (by treating it as a tensor model on four sites) and also a new model which interpolates between these two models. In each model, we evaluate various four point functions at large $N$ and strong coupling, and discuss their spectrum and long time behaviors. We find similarities as well as differences from SYK model. We also generalize our analysis to rank-$D$ tensor models where we obtain analogous results as $D=3$ case for the four point functions which we computed. For $D>5$, we are able to compute the next-to-subleading $\frac{1}{N}$ corrections for a specific four point function.

arXiv comment46 pages, 29 figures; v2:typos corrected, reference added; v3:minor revisions, to be published in JHEP

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Cited by in corpus (45)

• Thermal diffusivity and chaos in metals without quasiparticles
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
• Dispersive SYK model: band structure and quantum chaos
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Space-Time in the SYK Model
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• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Three Dimensional View of Arbitrary $q$ SYK models
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
• Thouless time for mass-deformed SYK
• Quantum Quenches and Thermalization in SYK models
• SYK Model, Chaos and Conserved Charge
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Contrasting SYK-like Models
• Diffusion in higher dimensional SYK model with complex fermions
• Towards the Holographic Dual of N = 2 SYK
• A Complex Fermionic Tensor Model in $d$ Dimensions
• Towards a Finite-$N$ Hologram
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Supersymmetric SYK Model with Global Symmetry
• Thickening and sickening the SYK model
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• On Melonic Supertensor Models
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• Melonic Dominance in Subchromatic Sextic Tensor Models
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• Hagedorn Temperature in Large $N$ Majorana Quantum Mechanics
• Near Conformal Perturbation Theory in SYK Type Models
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• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• Sign-Problem-Free Variant of Complex Sachdev-Ye-Kitaev Model
• Chaotic Correlation Functions with Complex Fermions
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• Statistic behaviors of gauge-invariance-dominated 1D chiral current random model
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