A Yang-Mills Theory in Loop Space and Generalized Chapline-Manton Coupling
High Energy Physics - Theory
2009-10-31 v2
Abstract
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 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 non-abelian tensor fields of second rank, Yang-Mills fields, and an abelian tensor field of third rank, are also derived by applying the non-linear realization method to the Yang-Mills theory. These couplings are accompanied by {\it BF}-like terms.
Cite
@article{arxiv.hep-th/0005030,
title = {A Yang-Mills Theory in Loop Space and Generalized Chapline-Manton Coupling},
author = {Tadahito Nakajima},
journal= {arXiv preprint arXiv:hep-th/0005030},
year = {2009}
}
Comments
28 pages, Latex, no figures, references added, revised version with minor changes to appear in Prog.Theor.Phys