Contributor info: Dr Ana Lucia Retore

Marius de Leeuw, Ana Lucia Retore

SciPost Phys. 15, 241 (2023) · published 15 December 2023 | Toggle abstract · pdf

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 three-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 exhibit.