Ringdown in the SYK model
High Energy Physics - Theory
2025-10-01 v2 Strongly Correlated Electrons
Abstract
We analyze thermal correlators in the Sachdev-Ye-Kitaev model away from the maximally chaotic limit. Despite the absence of a weakly curved black hole dual, the two point function decomposes into a sum over a discrete set of quasinormal modes. To compute the spectrum of modes, we analytically solve the Schwinger-Dyson equations to a high order in perturbation theory, and then numerically fit to a sum of exponentials using a technique analogous to the double cone construction. The resulting spectrum has a tree-like structure which is reminiscent of AdS black holes with curvature singularities. We present a simple toy model of stringy black holes that qualitatively reproduces some aspects of this structure.
Keywords
Cite
@article{arxiv.2408.05790,
title = {Ringdown in the SYK model},
author = {Matthew Dodelson},
journal= {arXiv preprint arXiv:2408.05790},
year = {2025}
}