On a Poisson–Lie deformation of the BCn Sutherland system

@article{Fehr2015OnAP,
  title={On a Poisson–Lie deformation of the BCn Sutherland system},
  author={L. Feh{\'e}r and T. Gorbe},
  journal={Nuclear Physics},
  year={2015},
  volume={901},
  pages={85-114}
}
  • L. Fehér, T. Gorbe
  • Published 2015
  • Physics, Mathematics
  • Nuclear Physics
  • Abstract A deformation of the classical trigonometric BC n Sutherland system is derived via Hamiltonian reduction of the Heisenberg double of SU ( 2 n ) . We apply a natural Poisson–Lie analogue of the Kazhdan–Kostant–Sternberg type reduction of the free particle on SU ( 2 n ) that leads to the BC n Sutherland system. We prove that this yields a Liouville integrable Hamiltonian system and construct a globally valid model of the smooth reduced phase space wherein the commuting flows are complete… CONTINUE READING
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