English

On the $W$-algebra in the Calegero-Sutherland model using the Exchange operators

High Energy Physics - Theory 2015-06-26 v1

Abstract

We study the WW_\infty algebra in the Calegero-Sutherland model using the exchange operators. The presence of all the sub-algebras of WW_\infty is shown in this model. A simplified proof for this algebra, in the symmetric ordered basics, is given. It is pointed out that the algebra contains in general, nonlinear terms. Possible connection to the nonlinear WW_\infty is discussed.

Keywords

Cite

@article{arxiv.hep-th/9510239,
  title  = {On the $W$-algebra in the Calegero-Sutherland model using the Exchange operators},
  author = {V. Narayanan and M. Sivakumar},
  journal= {arXiv preprint arXiv:hep-th/9510239},
  year   = {2015}
}

Comments

Plain Tex, no figures, 13 pages

R2 v1 2026-07-22T15:56:54.286Z