清洁SYK模型族的可积性：来自临界ISING链
Integrability of a family of clean SYK models from the critical Ising chain
AI总结：
本研究通过推导清洁SYK模型族的R矩阵，揭示了其与临界ISING链之间的深刻联系，展示了可积性与量子混沌的关联。
摘要：
我们建立了具有均匀p体相互作用的一类Sachdev-Ye-Kitaev（SYK）模型的可积性。我们推导出生成这些模型哈密顿量的R矩阵和相互交换的转移矩阵，并获得了它们的精确本征谱和本征态。值得注意的是，R矩阵是临界 transverse-field Ising链的R矩阵。这项工作揭示了SYK模型——许多体量子混沌的核心——与临界ISING链——统计力学的基石——之间意想不到的联系。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
