Lifting integrable models and long-range interactions
High Energy Physics - Theory
2023-12-20 v3 Mathematical Physics
math.MP
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 -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 -matrix. Finally we discuss what happens at higher loops and highlight some general structures that these models seem to exhibit.
Cite
@article{arxiv.2206.08390,
title = {Lifting integrable models and long-range interactions},
author = {Marius de Leeuw and Ana. L. Retore},
journal= {arXiv preprint arXiv:2206.08390},
year = {2023}
}
Comments
21 pages, v2: added two references, minor corrections, v3: added few comments, minor corrections