Jackiw-Pi Model: A Superfield Approach

TL;DR

This paper develops a superfield formalism to derive BRST and anti-BRST symmetries for the 3D Jackiw-Pi model, revealing the natural emergence of the Curci-Ferrari restriction and ensuring their absolute anticommutativity.

Contribution

It introduces a superfield approach to derive off-shell nilpotent BRST symmetries for the Jackiw-Pi model, highlighting the natural emergence of the Curci-Ferrari restriction.

Findings

Derived off-shell nilpotent BRST and anti-BRST transformations.

Showed the Curci-Ferrari restriction arises naturally in the formalism.

Proved the absolute anticommutativity of the BRST symmetries.

Abstract

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) as well as anti-BRST transformations s_{(a)b} corresponding to the Yang-Mills gauge transformations of 3D Jackiw-Pi model by exploiting the "augmented" superfield formalism. We also show that the Curci-Ferrari restriction, which is a hallmark of any non-Abelian 1-form gauge theories, emerges naturally within this formalism and plays an instrumental role in providing the proof of absolute anticommutativity of s_{(a)b}.