N=1 super-Chern-Simons coupled to parity-preserving matter from Atiyah-Ward space-time

TL;DR

This paper develops a supersymmetric extension of a Chern-Simons coupled super-QED model by using a novel formulation and dimensional reduction, revealing new insights into supermultiplet interactions in lower dimensions.

Contribution

It introduces a Parkes-Siegel formulation for massive Abelian N=1 super-QED coupled to a self-dual supermultiplet with dimensional reduction to (1+2) dimensions.

Findings

Derived a supersymmetric extension of τ₃QED₁+₂ with Chern-Simons coupling.

Showed how dimensional reduction yields a natural supersymmetric model.

Provided a new formulation for supermultiplet interactions in lower-dimensional space-time.

Abstract

In this letter, we present the Parkes-Siegel formulation for the massive Abelian $N$$=$$1$ super-{\QED} coupled to a self-dual supermultiplet, by introducing a chiral multiplier superfield. We show that after carrying out a suitable dimensional reduction from ($2$$+$$2$) to ($1$$+$$2$) dimensions, and performing some necessary truncations, the simple supersymmetric extension of the ${\tau}_{3}$QED$_{1+2}$ coupled to a Chern-Simons term naturally comes out.