Topologically massive gauge theories from first order theories in arbitrary dimensions

TL;DR

This paper demonstrates that many topologically massive gauge theories in arbitrary dimensions can be derived from gauge non-invariant first-order theories, which are interpretable as self-dual models, expanding understanding of their foundational structure.

Contribution

It establishes a general correspondence between topologically massive theories and self-dual models via first-order formulations across any dimension.

Findings

Large class of topologically massive theories correspond to self-dual models.

First-order gauge non-invariant theories can generate these topologically massive theories.

The approach applies to theories in arbitrary dimensions.

Abstract

We thereby prove that a large class of topologically massive theories of the Cremmer-Scherk-Kalb-Ramond-type in any $d$ dimensions corresponds to gauge non-invariant first-order theories that can be interpreted as self-dual models.