Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations

Details Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations

1993-07-04

arxiv.org/abs/hep-th/9307021v2

J.Math.Phys.35:2902-2913,1994

Physics

High Energy Physics

High Energy Physics - Theory

14 pages in LaTeX, LaTeXable version

Scientific paper

10.1063/1.530493

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.

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