Augmented Superfield Approach to Non-Yang-Mills Symmetries of Jackiw-Pi Model: Novel Observations

TL;DR

This paper develops an augmented superfield approach to derive BRST and anti-BRST symmetries for the non-Yang-Mills symmetries of the (2+1)-dimensional Jackiw-Pi model, revealing novel features like auxiliary field transformations without the Curci-Ferrari restriction.

Contribution

It introduces a new superfield formalism to obtain symmetry transformations for the Jackiw-Pi model, including auxiliary fields, without the Curci-Ferrari restriction, advancing understanding of non-Yang-Mills gauge symmetries.

Findings

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

Established that Curci-Ferrari restriction does not appear in this context.

Obtained proper symmetry transformations for auxiliary field  that are otherwise inaccessible.

Abstract

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) as well as anti-BRST symmetry transformations corresponding to the non-Yang-Mills symmetry transformations of (2 + 1)- dimensional Jackiw-Pi (JP) model within the framework of "augmented" superfield formalism. The Curci-Ferrari restriction, which is a hallmark of non-Abelian 1-form gauge theories, does not appear in this case. One of the novel features of our present investigation is the derivation of proper (anti-)BRST symmetry transformations corresponding to the auxiliary field \rho that can not be derived by any conventional means.