← Back to papers
Integrability of a family of clean SYK models from the critical Ising chain
Kohei Fukai, Hosho Katsura·November 5, 2025·DOI: 10.1103/g4b2-n9c8
cond-mat.stat-mechcond-mat.str-elhep-thMathematical PhysicsQuantum Physics
AI Breakdown
Get a structured breakdown of this paper — what it's about, the core idea, and key takeaways for the field.
Abstract
We establish the integrability of a family of Sachdev-Ye-Kitaev (SYK) models with uniform $p$-body interactions. We derive the R-matrix and mutually commuting transfer matrices that generate the Hamiltonians of these models, and obtain their exact eigenspectra and eigenstates. Remarkably, the R-matrix is that of the critical transverse-field Ising chain. This work reveals an unexpected connection between the SYK model, central to many-body quantum chaos, and the critical Ising chain, a cornerstone of statistical mechanics.