Invariants of the Haldane-Shastry $SU(N)$ Chain
Michael Fowler, Joseph A. Minahan
TL;DR
This paper constructs explicit invariants of motion for the Haldane-Shastry $SU(N)$ chain using Polychronakos's formalism, advancing understanding of its integrable structure.
Contribution
It introduces a new set of invariants for the Haldane-Shastry $SU(N)$ chain, enhancing the analysis of its integrability.
Findings
Explicit invariants of motion constructed
Improved understanding of integrability structure
Framework applicable to $SU(N)$ chains
Abstract
Using a formalism developed by Polychronakos, we explicitly construct a set of invariants of the motion for the Haldane-Shastry chain.
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