Corpus ID: 231603269

Superintegrability of Calogero-Moser systems associated with the cyclic quiver

@inproceedings{Fairon2021SuperintegrabilityOC,
  title={Superintegrability of Calogero-Moser systems associated with the cyclic quiver},
  author={M. Fairon and T. Gorbe},
  year={2021}
}
We study complex integrable systems on quiver varieties associated with the cyclic quiver, and prove their superintegrability by explicitly constructing first integrals. We interpret them as rational Calogero-Moser systems endowed with internal degrees of freedom called spins. They encompass the usual systems in type An−1 and Bn, as well as generalisations introduced by Chalykh and Silantyev in connection with the multicomponent KP hierarchy. We also prove that superintegrability is preserved… Expand

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