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arXiv · 2003.04332

Classifying nearest-neighbour interactions and deformations of AdS

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

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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Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, Paul Ryan. 2020-03-09. Classifying nearest-neighbour interactions and deformations of AdS. https://doi.org/10.1103/physrevlett.125.031604

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