Dualization of non-Abelian $B\wedge\phi$ model

TL;DR

This paper develops a dualization method for a non-Abelian $B ext{ exttwosuperior}\phi$ model in three dimensions, establishing a duality to a massive scalar theory and deriving a Klein-Gordon-like action.

Contribution

It introduces a gauge-invariant St"{u}ckelberg-like master action for non-Abelian models and demonstrates their duality to scalar theories in three-dimensional space-time.

Findings

Established duality between non-Abelian topologically massive $B ext{ exttwosuperior}\phi$ model and a scalar model.

Constructed a gauge-invariant master action for the non-Abelian model.

Derived a Klein-Gordon-type action from the duality in a specific case.

Abstract

In this work we show a dualization process of a non-Abelian model with an antisymmetric tensor gauge field in a three-dimensional space-time. We have constructed a non-Abelian gauge invariant St\"{u}ckelberg-like master action, and a duality between a non-Abelian topologically massive $B\wedge\phi$ model and a non-Abelian massive scalar action, which leads us to a Klein-Gordon-type action when we consider a particular case.