4 papers
Superintegrability of Calogero-Moser systems associated with the cyclic quiver
Maxime Fairon, Tamás Görbe
We study complex integrable systems on quiver varieties associated with the cyclic quiver, and prove their superintegrability by explicitly constructing first integrals. We interpr…
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…
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…
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…