TY  - JOUR
AU  - Altland, Alexander
AU  - Bagrets, Dmitry
AU  - Callebaut, Nele
AU  - Weisenberger, Konstantin
TI  - The chiral SYK model in three-dimensional holography
JO  - SciPost physics
VL  - 18
IS  - 6
SN  - 2542-4653
CY  - Amsterdam
PB  - SciPost Foundation
M1  - FZJ-2025-04095
SP  - 205
PY  - 2025
AB  - A celebrated realization of the holographic principle posits an approximate duality between 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 correspondence to one dimension higher. Starting from different microscopic realizations of effectively 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 constants, and to compute observables. Specifically, we apply semiclassical techniques inspired 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.
LB  - PUB:(DE-HGF)16
DO  - DOI:10.21468/SciPostPhys.18.6.205
UR  - https://juser.fz-juelich.de/record/1047049
ER  -