$gl(n|m)$ color Calogero-Sutherland models and Super Yangian Algebra

Abstract A supersymmetric extension of the color Calogero-Sutherland model is considered based on the Yangian Y ( gl ( n | m )). The algebraic structure of the model is discussed in some detail. We show that the commuting conserved quantities can be generated from the super-quantum determinant, thus establishing the integrability of the model. In addition, the rational limit of the model is studied where the Yangian symmetry degenerates into a super loop algebra.