The four-body SYK model is supersymmetric in all but two Altland-Zirnbauer symmetry classes, with supercharge structure fixed by k mod 8.
Kitaev, A simple model of quantum holography (2015), proceedings of the KITP Program: Entanglement in Strongly-Correlated Quantum Matter
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Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
The four-body SYK model is supersymmetric in all but two Altland-Zirnbauer symmetry classes, with supercharge structure fixed by k mod 8.