Exotic Gauge Theories from Tensor Calculus

TL;DR

This paper introduces a novel method for constructing exotic gauge theories involving exterior form fields by gauging specific symmetries, utilizing tensor calculus, and exploring generalizations with Chern-Simons forms and dimensional reduction.

Contribution

It presents a new approach to formulating non-standard gauge interactions using tensor calculus and symmetry gauging, expanding the landscape of gauge theories.

Findings

Constructed new interactions between exterior form gauge fields.

Extended the framework by coupling to gravitational Chern-Simons forms.

Discussed generalizations via dimensional reduction.

Abstract

We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss generalizations of such interactions by adding couplings to gravitational Chern-Simons forms and to fields arising through dimensional reduction. The construction uses an appropriate tensor calculus.