杨-巴克斯特方程的所有正则 $4 \times 4$ 解

IF 4.6 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

SciPost Physics Pub Date : 2024-07-26 DOI:10.21468/scipostphyscore.7.3.045

Luke Corcoran, Marius de Leeuw

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引用次数: 0

摘要

我们完成了杨-巴克斯特方程 4×4 正则解的分类。除了之前已知的模型，我们还发现了四个非差分形式的新模型。所有新模型都产生了具有非三维约旦块结构的哈密顿和转移矩阵。其中一个模型对应于 XXX 自旋链的非对角可积分变形。

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All regular $4 \times 4$ solutions of the Yang-Baxter equation

We complete the classification of 4×4 regular solutions of the Yang-Baxter equation. Apart from previously known models, we find four new models of non-difference form. All the new models give rise to Hamiltonians and transfer matrices that have a non-trivial Jordan block structure. One model corresponds to a non-diagonalisable integrable deformation of the XXX spin chain.

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来源期刊

SciPost Physics Physics and Astronomy-Physics and Astronomy (all)

CiteScore

8.20

自引率

12.70%

发文量

315

审稿时长

10 weeks

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