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

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.

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

References in corpus (4)

• All consistent interactions for exterior form gauge fields
• Algebraic renormalization of the BF Yang-Mills Theory
• String Field Equations from Generalized Sigma Model
• The Wess-Zumino Consistency Condition For p-Form Gauge Theories

Cited by in corpus (1)

• A Universal Lagrangian for Massive Yang-Mills Theories without Higgs Bosons