Abstract
We study the chaos exponent of some variants of the Sachdev-Ye-Kitaev (SYK) model, namely, the \( \mathcal{N} \) = 1 supersymmetry (SUSY)-SYK model and its sibling, the (N|M)-SYK model which is not supersymmetric, for arbitrary interaction strength. We find that for large q the chaos exponent of these variants, as well as the SYK and the \( \mathcal{N} \) = 2 SUSY-SYK model, all follow a single-parameter scaling law. By quantitative arguments we further make a conjecture, i.e. that the found scaling law might hold for general one-dimensional (1D) SYK-like models with large q. This points out a universal route from maximal chaos towards completely regular or integrable motion in the SYK model and its 1D variants.
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Ma, C., Tian, C. Non-maximal chaos in some Sachdev-Ye-Kitaev-like models. J. High Energ. Phys. 2023, 9 (2023). https://doi.org/10.1007/JHEP05(2023)009
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DOI: https://doi.org/10.1007/JHEP05(2023)009