Theory of Magnetic Monopoles with Non-Abelian Gauge Symmetry

Abstract

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