Gaudin Models and Bending Flows: a Geometrical Point of View


In this paper we discuss the bihamiltonian formulation of the (rational XXX) Gaudin models of spin–spin interaction, generalized to the case of sl(r)–valued “spins”. In particular, we focus on the homogeneous models. We find a pencil of Poisson brackets that recursively define a complete set of integrals of the motion, alternative to the set of integrals… (More)