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

C. Ahn; W. M. Koo

doi:10.1016/0370-2693(95)01264-8

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arXiv · hep-th/9505060

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

C. Ahn·W. M. Koo

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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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C. Ahn, W. M. Koo. 1995-05-11. $gl(n|m)$ color Calogero-Sutherland models and Super Yangian Algebra. https://doi.org/10.1016/0370-2693(95)01264-8

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