Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations
High Energy Physics - Theory
2011-07-19 v2 Exactly Solvable and Integrable Systems
solv-int
Abstract
The relation between two--dimensional integrable systems and four--dimen\-sional self--dual Yang--Mills equations is considered. Within the twistor description and the zero--curvature representation a method is given to associate self--dual Yang-Mills connections with integrable systems of the Korteweg--de Vries and non--linear Schr\"odinger type or principal chiral models. Examples of self--dual connections are constructed that as points in the moduli do not have two independent conformal symmetries.
Cite
@article{arxiv.hep-th/9307021,
title = {Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations},
author = {Francisco Guil and Manuel Mañas},
journal= {arXiv preprint arXiv:hep-th/9307021},
year = {2011}
}
Comments
14 pages in LaTeX, LaTeXable version