Lifting integrable models and long-range interactions

de Leeuw, Marius; Retore, Ana Lucia

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 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.

Citation

de Leeuw, M., & Retore, A. L. (2023). Lifting integrable models and long-range interactions. SciPost Physics, 15(6), Article 241. https://doi.org/10.21468/scipostphys.15.6.241

• Journal Article Type: Article
• Acceptance Date: Nov 27, 2023
• Online Publication Date: Dec 15, 2023
• Publication Date: Dec 15, 2023
• Deposit Date: May 15, 2024
• Journal: SciPost Physics
• Print ISSN: 2542-4653
• Electronic ISSN: 2542-4653
• Publisher: SciPost
• Peer Reviewed: Peer Reviewed
• Volume: 15
• Issue: 6
• Article Number: 241
• DOI: https://doi.org/10.21468/scipostphys.15.6.241
• Public URL: https://durham-repository.worktribe.com/output/2441066