3D Jackiw–Pi model: (anti-)chiral superfield approach to BRST formalism

We discuss and derive the continuous Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry transformations for the Jackiw–Pi (JP) model of three (2 + 1)-dimensional (3D) massive non-Abelian 1-form gauge theory by exploiting the standard technique of (anti-)chiral superfield approach (ACSA) to BRST formalism where a few appropriate and specific sets of (anti-)BRST invariant quantities (i.e., physical quantities at quantum level) play a very important role. We provide the explicit derivation of the nilpotency and absolute anticommutativity properties of (anti-)BRST conserved charges and existence of Curci–Ferrari (CF)-condition within the realm of ACSA to BRST formalism where we take only a single Grassmannian variable into account. We also provide the clear proof of (anti-)BRST invariances of the coupled (but equivalent) Lagrangian densities within the framework of ACSA to BRST approach where the emergence of the CF-condition is observed.