Non-abelian gauge antisymmetric tensor fields

TL;DR

This paper develops a theoretical framework for non-abelian gauge antisymmetric tensor fields, extending Yang-Mills theory and abelian p-forms, with a focus on gauge groups acting as supergroups and generalized Chern-Simons actions.

Contribution

It introduces a novel class of non-abelian gauge antisymmetric tensor fields and constructs generalized Chern-Simons actions, expanding the mathematical structure of gauge theories.

Findings

Gauge group acts as a supergroup on differential forms

Construction of a wide class of generalized Chern-Simons actions

Extension of Yang-Mills and abelian p-form theories

Abstract

We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it is shown to be a supergroup. The wide class of generalized Chern-Simons actions is constructed.