Construction of the classical $R$-matrices for the Toda and Calogero models
Abstract
We use the definition of the Calogero-Moser models as Hamiltonian reductions of geodesic motions on a group manifold to construct their $R$-matrices. In the Toda case, the analogous construction yields constant $R$-matrices. By contrast, for Calogero-Moser models they are dynamical objects.
- Publication:
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arXiv e-prints
- Pub Date:
- June 1993
- DOI:
- 10.48550/arXiv.hep-th/9306102
- arXiv:
- arXiv:hep-th/9306102
- Bibcode:
- 1993hep.th....6102A
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- Latex file 23 pages