# 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} }

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…

## 29 Citations

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