English

Universal R-matrix as integral operator

Exactly Solvable and Integrable Systems 2009-11-07 v1 High Energy Physics - Theory

Abstract

We derive the integral operator form for the general rational solution of the Yang-Baxter equation with s(21)s\ell(2|1) symmetry. Considering the defining relations for the kernel of the R-operator as a system of second order differential equations we observe remarkable reduction to a system of simple first order equations. The obtained kernel of R-operator has a very simple structure. To illustrate all this in the simplest situation we treat also the s(2)s\ell(2) case.

Keywords

Cite

@article{arxiv.nlin/0102024,
  title  = {Universal R-matrix as integral operator},
  author = {S. E. Derkachov and D. Karakhanyan and R. Kirschner},
  journal= {arXiv preprint arXiv:nlin/0102024},
  year   = {2009}
}

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26 pages LaTex