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 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.
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