Searching for the dual of the Maxwell-Chern-Simons model minimally coupled to dynamical U(1) charged matter

TL;DR

This paper investigates the duality between the self-dual and Maxwell-Chern-Simons models when coupled to dynamical charged matter, revealing the necessary coupling modifications for equivalence.

Contribution

It identifies the specific coupling adjustments needed to establish duality between the models with dynamical matter using gauge embedding.

Findings

Self-dual potential must couple to the Chern-Kernel of the source.

A self-interaction term is required to keep the matter sector unchanged.

Dual equivalence depends on proper coupling modifications.

Abstract

The possibility of dual equivalence between the self-dual and the Maxwell-Chern-Simons (MCS) models when the latter is coupled to dynamical, U(1) fermionic charged matter is examined. The proper coupling in the self-dual model is then disclosed using the iterative gauge embedding approach. We found that the self-dual potential needs to couple directly to the Chern-Kernel of the source in order to establish this equivalence besides the need for a self-interaction term to render the matter sector unchanged.