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arXiv · 2206.08390

Lifting integrable models and long-range interactions

Marius de Leeuw·Ana. L. Retore
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Abstract

In this paper we discuss a constructive approach to check whether a constant Hamiltonian is Yang-Baxter integrable. We then apply our method to long-range interactions and find the Lax operator and $R$-matrix of the two-loop SU(2) sector in N=4 SYM. We show that all known integrable long-range deformations of the 6-vertex models of this type can be obtained from a Lax operator and an $R$-matrix. Finally we discuss what happens at higher loops and highlight some general structures that these models seem to exhibit.

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Marius de Leeuw, Ana. L. Retore. 2022-06-16. Lifting integrable models and long-range interactions. https://doi.org/10.21468/scipostphys.15.6.241

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