Integrable SYK-like models
Hosho Katsura (Université de Tokyo)
In this talk, we introduce two disorder-free variants of the Sachdev–Ye–Kitaev (SYK) model, both built from Majorana fermions with all-to-all interactions: (i) the clean Majorana SYK model and (ii) its N=1 supersymmetric extension. Unlike the original disordered SYK model, which is maximally chaotic, these models are integrable, in the sense that their Hamiltonians commute with a quadratic Hamiltonian.
This integrability allows us to study the static and dynamical properties of Model (i) with 4-body interactions in detail. We find that the out-of-time-order correlators (OTOCs) exhibit early-time exponential growth, resembling that of the disordered SYK model. Time permitting, I will also discuss the effect of dissipation on this 4-body clean SYK model.
[1] Soshun Ozaki and Hosho Katsura, Phys. Rev. Research 7, 013092 (2025).
[2] Kohei Fukai and Hosho Katsura, Phys. Rev. B 113, 115107 (2026).
[3] Soshun Ozaki, Hironobu Yoshida, and Hosho Katsura, arXiv:2606.08079.