Integrals of motion of the Haldane Shastry Model

Abstract

In this letter we develop a method to construct all the integrals of motion of the $SU(p)$ Haldane-Shastry model of spins, equally spaced around a circle, interacting through a $1/r^2$ exchange interaction. These integrals of motion respect the Yangian symmetry algebra of the Hamiltonian.

13 pages, REVTEX v3.0

References in corpus (7)

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• On Models with Inverse-Square Exchange
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• Many-spinon states and the secret significance of Young tableaux
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• Momentum classification of SU($n$) spin chains using extended Young Tableaux
• A solvable non-unitary fermionic long-range model with extended symmetry
• Bethe ansatz inside Calogero-Sutherland models
• Scalar Symmetries of the Hubbard Models with Variable Range Hopping
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