English

About the Rationality of the Knizhnik-Zamolodchikov Equation Solution

Analysis of PDEs 2015-05-13 v1 Group Theory

Abstract

In the paper the solution of KZ system (n=4, m=2) is constructed in the explicit form in terms of the hypergeometric functions. We proved that the corresponding solution is rational when the parameter ρ\rho is integer. We show that in the case (n=4, m=5, ρ\rho is integer) the corresponding KZ system hasn't got a rational solution.

Keywords

Cite

@article{arxiv.0903.3873,
  title  = {About the Rationality of the Knizhnik-Zamolodchikov Equation Solution},
  author = {Lev Sakhnovich},
  journal= {arXiv preprint arXiv:0903.3873},
  year   = {2015}
}