Abstract:
We introduce a class of spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. The associated integrable models (called integrable spin Calogero-Moser systems in the paper) and their Lax pairs are then obtained via Poisson reduction and gauge transformations. For Lie algebras of A n -type, this new class of integrable systems includes the usual Calogero-Moser systems as subsystems. Our method is guided by a general framework which we develop here using dynamical Lie algebroids.
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Received: 19 October 2001 / Accepted: 7 June 2002 Published online: 21 October 2002
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ID="*" Research partially supported by NSF grant DMS00-72171.
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Li, LC., Xu, P. A Class of Integrable Spin Calogero-Moser Systems. Commun. Math. Phys. 231, 257–286 (2002). https://doi.org/10.1007/s00220-002-0724-1
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DOI: https://doi.org/10.1007/s00220-002-0724-1