Sachdev-Ye-Kitaev models and beyond: Window into non-Fermi liquids

D Chowdhury, A Georges, O Parcollet… - Reviews of Modern Physics, 2022 - APS
This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

An introduction to the SYK model

V Rosenhaus - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
Abstract The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …

Black holes and random matrices

JS Cotler, G Gur-Ari, M Hanada, J Polchinski… - Journal of High Energy …, 2017 - Springer
A bstract We argue that the late time behavior of horizon fluctuations in large anti-de Sitter
(AdS) black holes is governed by the random matrix dynamics characteristic of quantum …

Fermionic localization of the Schwarzian theory

D Stanford, E Witten - Journal of High Energy Physics, 2017 - Springer
A bstract The SYK model is a quantum mechanical model that has been proposed to be
holographically dual to a 1+ 1-dimensional model of a quantum black hole. An emergent …

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography

RA Davison, W Fu, A Georges, Y Gu, K Jensen… - Physical Review B, 2017 - APS
We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of
fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian …

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual

A Kitaev, SJ Suh - Journal of High Energy Physics, 2018 - Springer
A bstract We give an exposition of the SYK model with several new results. A non-local
correction to the Schwarzian effective action is found. The same action is obtained by …

An SYK-like model without disorder

E Witten - Journal of Physics A: Mathematical and Theoretical, 2019 - iopscience.iop.org
Making use of known facts about'tensor models', it is possible to construct a quantum system
without quenched disorder that has the same large n limit for its correlation functions and …

Supersymmetric sachdev-ye-kitaev models

W Fu, D Gaiotto, J Maldacena, S Sachdev - Physical Review D, 2017 - APS
We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev (SYK) model. These
are quantum mechanical models involving N Majorana fermions. The supercharge is given …

Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models

IR Klebanov, G Tarnopolsky - Physical Review D, 2017 - APS
Certain models with rank-3 tensor degrees of freedom have been shown by Gurau and
collaborators to possess a novel large N limit, where g 2 N 3 is held fixed. In this limit the …

Krylov complexity in large q and double-scaled SYK model

B Bhattacharjee, P Nandy, T Pathak - Journal of High Energy Physics, 2023 - Springer
A bstract Considering the large q expansion of the Sachdev-Ye-Kitaev (SYK) model in the
two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher …