The Algebraic Structure of the $gl(n|m)$ Color Calogero-Sutherland Models

Guo-xing Ju; Shi-kun Wang; Ke Wu

doi:10.1063/1.532434

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The Algebraic Structure of the $gl(n|m)$ Color Calogero-Sutherland Models

Guo-xing Ju·Shi-kun Wang·Ke Wu

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Abstract

We extend the study on the algebraic structure of the $su(n)$ color Calogero-Sutherland models to the case of $gl(n|m)$ color CS model and show that the generators of the super-Yangian $Y(gl(n|m))$ can be obtained from two $gl(n|m)$ loop algebras. Also, a super $W_{\infty}$ algebra for the SUSY CS model is constructed.

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Guo-xing Ju, Shi-kun Wang, Ke Wu. 1997-10-02. The Algebraic Structure of the $gl(n|m)$ Color Calogero-Sutherland Models. https://doi.org/10.1063/1.532434

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