English

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

High Energy Physics - Theory 2009-10-28 v1 Condensed Matter

Abstract

A supersymmetric extension of the color Calogero-Sutherland model is considered based on the Yangian Y(gl(nm))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.

Keywords

Cite

@article{arxiv.hep-th/9505060,
  title  = {$gl(n|m)$ color Calogero-Sutherland models and Super Yangian Algebra},
  author = {C. Ahn and W. M. Koo},
  journal= {arXiv preprint arXiv:hep-th/9505060},
  year   = {2009}
}

Comments

15 pages, standard Latex file