Integrals of motion of the Haldane Shastry Model
J.C. Talstra, F.D.M. Haldane
TL;DR
This paper introduces a method to construct all integrals of motion for the $SU(p)$ Haldane-Shastry spin model, which exhibits Yangian symmetry, enhancing understanding of its integrable structure.
Contribution
A novel method for constructing all integrals of motion in the $SU(p)$ Haldane-Shastry model, respecting its Yangian symmetry.
Findings
Successfully constructed all integrals of motion.
Confirmed the integrals respect Yangian symmetry.
Provides a framework for analyzing similar models.
Abstract
In this letter we develop a method to construct all the integrals of motion of the Haldane-Shastry model of spins, equally spaced around a circle, interacting through a exchange interaction. These integrals of motion respect the Yangian symmetry algebra of the Hamiltonian.
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