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

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

2000-05-03

arxiv.org/abs/hep-th/0005030v2

Prog.Theor.Phys. 106 (2001) 419-443

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Latex, no figures, references added, revised version with minor changes to appear in Prog.Theor.Phys

Scientific paper

10.1143/PTP.106.419

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.

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