Abstract

The relation between two-dimensional integrable systems and four-dimensional 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 nonlinear Schrödinger 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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