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math-ph2020
Trigonometric real form of the spin RS model of Krichever and Zabrodin
M. Fairon, L. Feher, I. Marshall
We investigate the trigonometric real form of the spin Ruijsenaars-Schneider system introduced, at the level of equations of motion, by Krichever and Zabrodin in 1995. This pioneer…
math-ph2018
On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system
Oleg Chalykh, Maxime Fairon
We suggest a Hamiltonian formulation for the spin Ruijsenaars-Schneider system in the trigonometric case. Within this interpretation, the phase space is obtained by a quasi-Hamilto…
math-ph2018
Spin versions of the complex trigonometric Ruijsenaars-Schneider model from cyclic quivers
Maxime Fairon
We study multiplicative quiver varieties associated to specific extensions of cyclic quivers with vertices. Their global Poisson structure is characterised by quasi-Hamil…