Parent Action Approach for the Duality between Non-Abelian Self-Dual and Yang-Mills-Chern-Simons Models

TL;DR

This paper demonstrates that the parent action approach can establish the duality between non-Abelian self-dual and Yang-Mills-Chern-Simons models in 2+1 dimensions using a perturbative method.

Contribution

It introduces a perturbative perspective to successfully apply the parent action approach for dualities in non-Abelian gauge theories.

Findings

Parent action approach can be used for dualities in non-Abelian models.

Duality holds across different coupling regimes with the proposed method.

Perturbative method enables establishing duality where previous approaches failed.

Abstract

It has been argued by some authors that the parent action approach cannot be used in order to establish the duality between the 2+1 Abelian and non-Abelian Self-Dual (SD) and Yang-Mills-Chern-Simons (YMCS) models for all the coupling regimes. We propose here an alternative (perturbative) point of view, and show that this equivalence can be achieved with the parent action approach.