# Chaos and random matrices in supersymmetric SYK

@article{HunterJones2017ChaosAR,
title={Chaos and random matrices in supersymmetric SYK},
author={Nicholas Hunter-Jones and Junyu Liu},
journal={Journal of High Energy Physics},
year={2017},
volume={2018},
pages={1-26}
}
• Published 23 October 2017
• Physics
• Journal of High Energy Physics
A bstractWe use random matrix theory to explore late-time chaos in supersymmetric quantum mechanical systems. Motivated by the recent study of supersymmetric SYK models and their random matrix classification, we consider the Wishart-Laguerre unitary ensemble and compute the spectral form factors and frame potentials to quantify chaos and randomness. Compared to the Gaussian ensembles, we observe the absence of a dip regime in the form factor and a slower approach to Haar-random dynamics. We…

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