Geometry of Solutions of the $N=2$ SYM Theory in Harmonic Superspace

The classical equations of motion of the $D=4$, $N=2$ supersymmetric Yang–Mills (SYM) theory for Minkowski and Euclidean spaces are analyzed in harmonic superspace. We study dual superfield representations of equations and subsidiary conditions corresponding to classical SYM solutions with different symmetries. In particular, alternative superfield constructions of self-dual and static solutions are described in the framework of the harmonic approach.