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Lifting integrable models and long-range interactions

de Leeuw, Marius; Retore, Ana Lucia

Authors

Marius de Leeuw

Dr Ana Retore ana.retore@durham.ac.uk
Post Doctoral Research Associate



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