Theory of magnetic monopoles with non-Abelian gauge symmetry

A generalization of the non-Abelian gauge theory of Yang and Mills is presented in which the field strengths ${F_{\mu \nu }}^i$ and their duals ${{\tilde{F}}_{\mu \nu }}^i$ enter symmetrically. The theory is symmetrical under a noncompact gauge group and permits the introduction of both electric and magnetic sources.