Accepted articles

Reviews of topical problems

Pedagogical introduction to SYK model and 2D Dilaton Gravity

 a, b
a Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
b National Research Center "Kurchatov Institute", Alikhanov Institute of Theoretical and Experimental Physics, ul. B. Cheremushkinskaya 25, Moscow, 117218, Russian Federation

SYK model and 2D dilaton gravity have recently attracted considerable attention from the high energy and condensed matter physics community. The success of these models is due to their remarkable properties. Following the original papers, we broadly discuss the properties of these models, including large N diagrammatics, emergence of conformal symmetry in the IR limit, effective action, four-point functions and chaos. Also we brie y review some recent results in the topic. On the one hand, we try to be as specific as possible, i.e. reveal every detail and loophole in the discussion. On the other hand, we expect this review to be suitable even for a reader who is not familiar with these models.

Keywords: SYK model, 2D gravity, quantum chaos, 1/N expansion, AdS/CFT correspondence, review
PACS: 11.10.Wx, 11.10.Kk, 05.45.Ac, 05.45.Mt, 04.62.+v, 04.70.Dy, 03.70.+k, 05.30.Fk (all)
DOI: 10.3367/UFNe.2020.06.038805
Citation: Trunin D A "Pedagogical introduction to SYK model and 2D Dilaton Gravity" Phys. Usp., accepted

Received: 3rd, March 2020, revised: 28th, June 2020, 29th, June 2020

Оригинал: Трунин Д А «Педагогическое введение в модель SYK и 2D дилатонную гравитацию» УФН, принята к публикации; DOI: 10.3367/UFNr.2020.06.038805

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