Non-Abelian ``Self-Dual'' Massive Gauge Theory in 2+1 Dimensions

TL;DR

This paper introduces a non-abelian self-dual massive gauge theory in 2+1 dimensions, combining Chern-Simons and BF terms, and demonstrates its equivalence to topological massive gauge theory at linearized level.

Contribution

It presents a novel non-abelian self-dual gauge theory formulation using two connections and constructs its covariant BRST invariant effective action.

Findings

The theory describes a massive spin one mode in 2+1 dimensions.

At linearized level, it is equivalent to topological massive gauge theory.

The covariant BRST invariant effective action is explicitly constructed.

Abstract

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are respectively a Chern-Simons and a $BF$ lagrangians, while the gauge invariant interaction is expressed in terms of the difference of the two connections. At the linearized level the theory is equivalent to the Topological Massive gauge theory. The covariant, $BRST$ invariant, effective action of the non-abelian sefl dual gauge theory is constructed.