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

Abstract

We consider a Yang--Mills theory in loop space whose gauge group is a Kac--Moody group with the central extension. From this theory, we derive a local field theory constructed of Yang--Mills fields and abelian antisymmetric and symmetric tensor fields of the second rank. The Chapline--Manton coupling, that is, coupling of Yang--Mills fields and a second-rank antisymmetric tensor field via the Chern--Simons 3-form is obtained in a systematic manner.

12pages, Latex file

Cited by in corpus (2)

• Anomalous Gauge Theories with Antisymmetric Tensor Fields
• A Yang-Mills Theory in Loop Space and Generalized Chapline-Manton Coupling