$gl(n|m)$ color Calogero-Sutherland models and Super Yangian Algebra
arXiv:hep-th/9505060 · doi:10.1016/0370-2693(95)01264-8
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 details. We show that the commuting conserved quantities can be generated from the super-quantum determinant, thus establishing the integrability of the model. In addition, rational limit of the model is studied where the Yangian symmetry degenerates into a super loop algebra.
15 pages, standard Latex file