<i>N</i>-dimensional instantons and monopoles

Abstract

The possibility of finding solutions of the instanton and monopole types to gauge field theories on arbitrary even and odd dimensional Euclidean manifolds respectively is investigated. Suitable boundary conditions for both types are given, and new self-duality criteria are developed, for gauge field theories on N-dimensional manifolds (N?5) which are also endowed with new Action and Lagrangian densities.