Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Uspekhi Fizicheskih Nauk

Pedagogical introduction to the Sachdev—Ye—Kitaev model and two-dimensional dilaton gravity

Dmitrii A. Trunin

Published Jun 1, 2020• 34 citations
Publisher
DOI
10.3367/ufnr.2020.06.038805

Related papers

Fundamental decoherence from quantum gravity: a pedagogical review

Rodolfo Gambini, Rafael A. Porto, Jorge A. Pullin

arXiv:gr-qc/0603090•General Relativity and Gravitation•Jul 11, 2007•111 citations

Pedagogical introduction to the Sachdev–Ye–Kitaev model and two-dimensional dilaton gravity

Dmitrii A. Trunin

Abstract The Sachdev–Ye–Kitaev model and two-dimensional dilaton gravity have recently been attracting increasing attention of the high-energy and condensed-matter physics communities. The success of these models is due to their remarkable properties. Following the original papers, we broadly discuss the properties of these models, including the diagram technique in the limit of a large number of degrees of freedom, the emergence of conformal symmetry in the infrared limit, effective action, four-point functions, and chaos. We also briefly discuss some recent results in this field. On the one hand, we attempt to be maximally rigorous, which means considering all the details and gaps in the argument; on the other hand, we believe that this review can be suitable for those who are not familiar with the relevant models.

arXiv:2002.12187•Physics-Uspekhi•Jul 17, 2020•48 citations

IT from QUBIT or ALL from HALL?

Dmitri V. Khveshchenko

Generalized 1 + 0-dimensional Liouvillean dynamics describing deformations of the Sachdev–Ye–Kitaev (SYK) model, as well as the various 1 + 1-dimensional dilaton and Horava–Lifshitz gravity theories, can all be mapped onto the single-particle quantum mechanics of a non-relativistic charge propagating in a (generally, curved) 2d space and subject to a (generally, non-uniform) magnetic field. The latter description sets a stage for the phenomenon of quantum Hall effect (QHE), thereby elucidating the intrinsically topological nature of the pertinent gravity theories and demystifying their (pseudo)holographic connection to a broad class of the SYK-like models.

arXiv:2305.04399•Lithuanian Journal of Physics•Jul 2, 2024•1 citation

Topics in the decoherent histories approach to quantum theory and quantum gravity

Petros Wallden

•Jan 1, 2006•0 citations

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

Alexei Kitaev, Sunok Josephine Suh

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 integrating out the bulk degrees of freedom in a certain variant of dilaton gravity. We also discuss general properties of out-of-time-order correlators.

arXiv:1711.08467•Journal of High Energy Physics•May 1, 2018•631 citations

Foundational problems in quantum gravity and quantum cosmology

Eduard Prugovečki

Foundations of Physics•Jun 1, 1992•3 citations
Abstract The Sachdev–Ye–Kitaev model and two-dimensional dilaton gravity have recently been attracting increasing attention of the high-energy and condensed-matter physics communities. The success of these models is due to their remarkable properties. Following the original papers, we broadly discuss the properties of these models, including the diagram technique in the limit of a large number of degrees of freedom, the emergence of conformal symmetry in the infrared limit, effective action, four-point functions, and chaos. We also briefly discuss some recent results in this field. On the one hand, we attempt to be maximally rigorous, which means considering all the details and gaps in the argument; on the other hand, we believe that this review can be suitable for those who are not familiar with the relevant models.
Generalized 1 + 0-dimensional Liouvillean dynamics describing deformations of the Sachdev–Ye–Kitaev (SYK) model, as well as the various 1 + 1-dimensional dilaton and Horava–Lifshitz gravity theories, can all be mapped onto the single-particle quantum mechanics of a non-relativistic charge propagating in a (generally, curved) 2d space and subject to a (generally, non-uniform) magnetic field. The latter description sets a stage for the phenomenon of quantum Hall effect (QHE), thereby elucidating the intrinsically topological nature of the pertinent gravity theories and demystifying their (pseudo)holographic connection to a broad class of the SYK-like models.