(Anti)self-dual gauge fields in dimension $d\ge 4$

The (anti)self-duality equations for gauge fields in dimension $d=4$ and the generalization of these equations for $d>4$ are considered. The results on solutions of the (anti)self-duality equations in $d\ge 4$ are reviewed. Some new classes of solutions of Yang–Mills equations in $d\ge 4$ for arbitrary gauge fields are described.