On the dual equivalence of the Born-Infeld-Chern-Simons model coupled to dynamical U(1) charged matter

TL;DR

This paper investigates the duality between a nonlinear self-dual model with Born-Infeld-Chern-Simons terms and its dual, including cases with dynamical charged matter, revealing a current-current interaction and a change from minimal to non-minimal coupling.

Contribution

It demonstrates the dual equivalence of the NSD and BICS models with dynamical matter using an iterative gauge embedding method.

Findings

Duality mapping introduces a current-current interaction.

Minimal coupling becomes a non-minimal magnetic-like coupling.

The duality holds even with dynamical U(1) charged fermionic matter.

Abstract

We study the equivalence between a nonlinear self-dual model (NSD) with the Born-Infeld-Chern-Simons (BICS) models using an iterative gauge embedding procedure that produces the duality mapping, including the case where the NSD model is minimally coupled to dynamical, U(1) charged fermionic matter. The duality mapping introduces a current-current interaction term while at the same time the minimal coupling of the original nonlinear self-dual model is replaced by a non-minimal magnetic like coupling in the BICS side.