Generalised spin Calogero-Moser systems from Cherednik algebras

Published 17 Sep 2025 in math-ph, hep-th, math.MP, math.QA, and nlin.SI | (2509.14099v1)

Abstract: Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.

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