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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 13 pages

Scientific paper

10.1063/1.532434

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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