The dual embedding method in D=3

TL;DR

This paper introduces and refines the dual embedding method (DEM) as an efficient alternative for deriving dual equivalent actions in three-dimensional field theories, demonstrating its advantages over traditional methods.

Contribution

The paper develops the dual embedding method (DEM) for D=3, showing it can generate a family of dual actions and confirming its effectiveness by reproducing known dual theories.

Findings

DEM can produce dual actions previously obtained by NDM

DEM reveals a family of dual equivalent actions due to zero mode arbitrariness

The dual of the self-dual model coupled to matter matches known results

Abstract

Improving the beginning steps of a previous work, we settle the dual embedding method (DEM) as an alternative and efficient method for obtaining dual equivalent actions also in D=3. We show that we can obtain dual equivalent actions which were previously obtained in the literature using the gauging iterative Noether dualization method (NDM). We believe that, with the arbitrariness property of the zero mode, the DEM is more profound since it can reveal a whole family of dual equivalent actions. After a review of our previous work, we obtain the dual equivalent theory of the self-dual model minimally coupled to U(1) charged bosonic matter. The result confirms the one obtained previously which is important since it has the same structure that appears in the Abelian Higgs model with an anomalous magnetic interaction.