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arXiv · hep-th/9503043

Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra

H. Awata·Y. Matsuo·S. Odake·J. Shiraishi
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Abstract

Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calogero-Sutherland model, and the singular vectors of the $W_N$ algebra. Based on this relation, we obtain their integral representations. We also give a direct algebraic method which leads to the same result, and integral representations of the skew-Jack polynomials.

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H. Awata, Y. Matsuo, S. Odake, J. Shiraishi. 1995-05-11. Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra. https://doi.org/10.1016/0550-3213(95)00286-2

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