A Yang–Mills Theory in Loop Space and Generalized Chapline–Manton Coupling

We consider a Yang–Mills theory in loop space with an affine Lie gauge group. The Chapline–Manton coupling, the coupling between Yang–Mills fields and an abelian antisymmetric tensor field of the second rank via the Chern– Simons term, is systematically derived within the framework of the Yang–Mills theory. The generalized Chapline–Manton couplings, the couplings among nonabelian tensor fields of the second rank, Yang–Mills fields, and abelian third rank tensor field of the third rank, are also derived by virtue of applying the non-linear realization method to the Yang–Mills theory. These couplings are accompanied by BF-like terms. E-mail: [email protected]