Algebraic Extensions of Gaudin Models

@article{Musso2004AlgebraicEO,
  title={Algebraic Extensions of Gaudin Models},
  author={F. Musso and M. Petrera and O. Ragnisco},
  journal={Journal of Nonlinear Mathematical Physics},
  year={2004},
  volume={12},
  pages={482 - 498}
}
  • F. Musso, M. Petrera, O. Ragnisco
  • Published 2004
  • Mathematics, Physics
  • Journal of Nonlinear Mathematical Physics
  • Abstract We perform a Inönü–Wigner contraction on Gaudin models, showing how the integrability property is preserved by this algebraic procedure. Starting from Gaudin models we obtain new integrable chains, that we call Lagrange chains, associated to the same linear r-matrix structure. We give a general construction involving rational, trigonometric and elliptic solutions of the classical Yang-Baxter equation. Two particular examples are explicitly considered: the rational Lagrange chain and… CONTINUE READING
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