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Affine Toda Solitons and Systems of Calogero-Moser Type

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arxiv hep-th/9603178 v2 pith:WV5BZTLD submitted 1996-03-27 hep-th nlin.SIsolv-int

H. W. Braden , Andrew N. W. Hone This is my paper · ORCID
classification hep-thnlin.SIsolv-int
keywords solitonsaffinecalogero-moserruijsenaars-schneidertodacorrespondenceextensionfield
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The solitons of affine Toda field theory are related to the spin-generalised Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides the sought after extension of the correspondence between the sine-Gordon solitons and the Ruijsenaars-Schneider model.

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  1. Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models

    math-ph 2019-08 conditional novelty 7.0 of 10

    The trigonometric spin Ruijsenaars-Sutherland hierarchy is obtained by Poisson reduction of a bi-Hamiltonian free system on T*U(n), yielding explicit compatible reduced Poisson brackets.

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