Spin Calogero models and dynamical r-matrices

L. Feher; B. G. Pusztai

Spin Calogero models and dynamical r-matrices

Mathematical Physics 2007-05-23 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Authors: L. Feher , B. G. Pusztai

Abstract

The main point of the construction of spin Calogero type classical integrable systems based on dynamical r-matrices, developed by L.-C. Li and P. Xu, is reviewed. It is shown that non-Abelian dynamical r-matrices with variables in a reductive Lie algebra ${\cal F}$ and their Abelian counterparts with variables in a Cartan subalgebra of ${\cal F}$ lead essentially to the same models.

Keywords

calogero models

Cite

@article{arxiv.math-ph/0511059,
  title  = {Spin Calogero models and dynamical r-matrices},
  author = {L. Feher and B. G. Pusztai},
  journal= {arXiv preprint arXiv:math-ph/0511059},
  year   = {2007}
}

Comments

Based on talk by L.F. at Symposium QTS-4, Varna (Bulgaria), August 2005; 12 pages, a remark is added and a reference is updated in v2

Spin Calogero models and dynamical r-matrices

Abstract

Keywords

Cite

Comments

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