English

Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation

Classical Analysis and ODEs 2011-04-05 v1 Mathematical Physics math.MP

Abstract

We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group SnS_{n}. We assume that parameter ρ=±1\rho=\pm{1}. In previous paper we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.

Keywords

Cite

@article{arxiv.0705.4362,
  title  = {Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation},
  author = {Lev Sakhnovich},
  journal= {arXiv preprint arXiv:0705.4362},
  year   = {2011}
}