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

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

1995-05-11

arxiv.org/abs/hep-th/9505060v1

Phys.Lett. B365 (1996) 105-112

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, standard Latex file

Scientific paper

10.1016/0370-2693(95)01264-8

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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