The above development generalizes in a more-or-less straightforward fashion to general principal G-bundles for some arbitrary Lie group G taking the place of U(1). In such a case, the theory is often referred to as a Yang–Mills theory and is sometimes taken to be synonymous. If the underlying manifold is supersymmetric, the resulting theory is a super-symmetric Yang–Mills theory.
The above development generalizes in a more-or-less straightforward fashion to general principal G-bundles for some arbitrary Lie group G taking .the place of U(1). In such a case the theory is often referred to as a Yang–Mills theory and is sometimes taken to be synonymous If the underlying manifold is supersymmetric, the resulting theory is a sup,er-symmetric Yang–Mills theory.