TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.6.241
TI  - Lifting integrable models and long-range interactions
PY  - 2023/12/15
UR  - https://scipost.org/SciPostPhys.15.6.241
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 6
SP  - 241
A1  - de Leeuw, Marius
AU  - Retore, Ana Lucia
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.6.241,
	title={{Lifting integrable models and long-range interactions}},
	author={Marius de Leeuw and Ana Lucia Retore},
	journal={SciPost Phys.},
	volume={15},
	pages={241},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.6.241},
	url={https://scipost.org/10.21468/SciPostPhys.15.6.241},
}