Microscopic spinon operators in the Haldane-Shastry chain

Construct or otherwise identify microscopic operators that create the non-interacting spinons of the Haldane-Shastry spin chain, as a prerequisite for extending the transport-equation derivation to that model.

Background

The paper proposes the Haldane-Shastry chain as another possible extension because it lacks velocity dressing, similarly to the rational Calogero model. However, applying the microscopic construction would require identifying operators for its elementary spinon excitations.

The relevant microscopic creation operators have remained elusive, potentially because the Haldane-Shastry chain lacks a simple correspondence between Bethe quasiparticles and the spectrum of a quantum Lax matrix.

References

This would require a better understanding of the microscopic operators that create non-interacting spinons in the Haldane-Shastry chain, which has long proved elusive, perhaps because there is no simple correspondence between Bethe quasiparticles and the spectrum of a quantum Lax matrix in this setting.

— Microscopically exact transport equation for the quantum Calogero model  (2609.03018 - Bulchandani et al., 2 Sep 2026) in Conclusion