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.