论文标题

分类最近的邻居相互作用和广告的变形

Classifying nearest-neighbour interactions and deformations of AdS

论文作者

de Leeuw, Marius, Paletta, Chiara, Pribytok, Anton, Retore, Ana L., Ryan, Paul

论文摘要

我们将Yang-Baxter方程的所有常规解决方案分类为八个vertex类型。常规溶液对应于与最接近邻居相互作用的旋转链。我们总共找到了四个独立解决方案。两个与通常具有差异形式的六个和八个vertex模型有关。我们发现杨巴克斯特方程的两个全新解决方案显然是非差异形式的。这些新的解决方案包含ADS2和ADS3集成模型的S-矩阵作为特殊情况。因此,我们可以对这些全息整合系统的八个vertex类型的所有可能的集成变形进行分类。

We classify all regular solutions of the Yang-Baxter equation of eight-vertex type. Regular solutions correspond to spin chains with nearest-neighbour interactions. We find a total of four independent solutions. Two are related to the usual six- and eight-vertex models that have R-matrices of difference form. We find two completely new solutions of the Yang-Baxter equation, which are manifestly of non-difference form. These new solutions contain the S-matrices of the AdS2 and AdS3 integrable models as a special case. Consequently, we can classify all possible integrable deformations of eight-vertex type of these holographic integrable systems.

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