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arXiv · 2010.11231

Yang-Baxter and the Boost: splitting the difference

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

In this paper we continue our classification of regular solutions of the Yang-Baxter equation using the method based on the spin chain boost operator developed in \cite{deLeeuw:2019zsi}. We provide details on how to find all non-difference form solutions and apply our method to spin chains with local Hilbert space of dimensions two, three and four. We classify all $16\times 16$ solutions which exhibit $\mathfrak{su}(2)\oplus \mathfrak{su}(2)$ symmetry, which include the one-dimensional Hubbard model and the $S$-matrix of the ${\rm AdS}_5 \times {\rm S}^5$ superstring sigma model. In all cases we find interesting novel solutions of the Yang-Baxter equation.

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Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, Paul Ryan. 2020-10-21. Yang-Baxter and the Boost: splitting the difference. https://doi.org/10.21468/scipostphys.11.3.069

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