In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry breaking, the quantum Hall effect, charge fractionalization, superconductivity and supergravity. This monograph discusses specific examples of selfdual gauge field structures, including the Chern Simons model, the abelian Higgs model, and Yang Mills gauge field theory.

The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating...