Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield

TL;DR

This paper investigates the duality between supersymmetric self-dual and Maxwell-Chern-Simons theories coupled to a fermionic matter superfield, using a master action approach to address complexities in matter representation.

Contribution

It introduces a novel master action method to analyze duality involving a spinorial matter superfield, overcoming challenges of quartic couplings in scalar superfield models.

Findings

Duality established between the models with fermionic matter

Characterization of the unusual supersymmetric multiplet involved

Insights into the physical properties of the spinorial matter superfield

Abstract

We study the duality of the supersymmetric self-dual and Maxwell-Chern-Simons theories coupled to a fermionic matter superfield, using a master action. This approach evades the difficulties inherent to the quartic couplings that appear when matter is represented by a scalar superfield. The price is that the spinorial matter superfield represents a unusual supersymmetric multiplet, whose main physical properties we also discuss.