Universität zu Köln

Altland, Alexander ORCID: 0000-0002-2991-4805, Bagrets, Dmitry ORCID: 0000-0002-3985-4834, Callebaut, Nele ORCID: 0000-0001-9968-5406 and Weisenberger, Konstantin ORCID: 0009-0001-1023-0403 (2025). The chiral SYK model in three-dimensional holography. SciPost Physics, 18 (6). pp. 1-68. SciPost Foundation. ISSN 2542-4653

PDF SciPostPhys_18_6_205.pdf Bereitstellung unter der CC-Lizenz: Creative Commons Attribution. Download (887kB)

Abstract

[Artikel-Nr.: 205] A celebrated realization of the holographic principle posits an approximate duality be- tween the (0 + 1)-dimensional quantum mechanical SYK model and two-dimensional Jackiw-Teitelboim gravity, mediated by the Schwarzian action as an effective low energy theory common to both systems. We here propose a generalization of this correspon- dence to one dimension higher. Starting from different microscopic realizations of effec- tively chiral (1 + 1)-dimensional generalizations of the SYK model, we derive a reduction to the Alekseev-Shatashvilli (AS)-action, a minimal extension of the Schwarzian action which has been proposed as the effective boundary action of three-dimensional gravity. In the bulk, we show how the same action describes fluctuations around the Euclidean BTZ black hole configuration, the dominant stationary solution of three-dimensional gravity. These two constructions allow us to match bulk and boundary coupling con- stants, and to compute observables. Specifically, we apply semiclassical techniques in- spired by condensed matter physics to the computation of out-of-time-order correlation functions (OTOCs), demonstrating maximal chaos in the chiral SYK chain and its gravity dual.

Item Type:	Article
Creators:	Creators Email ORCID ORCID Put Code Altland, Alexander UNSPECIFIED https://orcid.org/0000-0002-2991-4805 UNSPECIFIED Bagrets, Dmitry UNSPECIFIED https://orcid.org/0000-0002-3985-4834 UNSPECIFIED Callebaut, Nele UNSPECIFIED https://orcid.org/0000-0001-9968-5406 UNSPECIFIED Weisenberger, Konstantin UNSPECIFIED https://orcid.org/0009-0001-1023-0403 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-811758
Identification Number:	10.21468/SciPostPhys.18.6.205
Journal or Publication Title:	SciPost Physics
Volume:	18
Number:	6
Page Range:	pp. 1-68
Number of Pages:	68
Date:	24 June 2025
Publisher:	SciPost Foundation
ISSN:	2542-4653
Language:	English
Faculty:	External institution Faculty of Mathematics and Natural Sciences
Divisions:	Außeruniversitäre Forschungseinrichtungen > Forschungszentrum Jülich Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	Physics
['eprint_fieldname_oa_funders' not defined]:	Publikationsfonds UzK
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/81175