Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
High Energy Physics - Theory
2022-01-05 v2 Strongly Correlated Electrons
Abstract
We continue the investigation of coupled Sachdev-Ye-Kitaev(SYK) models without Schwarzian action dominance. Like the original SYK, at large N and low energies these models have an approximate reparametrization symmetry. However, the dominant action for reparametrizations is non-local due to the presence of irrelevant local operator with small conformal dimension. We semi-analytically study different thermodynamic properties and the 4-point function and demonstrate that they significantly differ from the Schwarzian prediction. However, the residual entropy and maximal chaos exponent are the same as in Majorana SYK. We also discuss chain models and finite N corrections.
Cite
@article{arxiv.2102.06647,
title = {Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models},
author = {Alexey Milekhin},
journal= {arXiv preprint arXiv:2102.06647},
year = {2022}
}
Comments
v1: 48 pages, 24 figures. v2: typos corrected, references added