Nilpotent (anti-)BRST symmetry transformations for dynamical non-Abelian 2-form gauge theory: superfield formalism

TL;DR

This paper develops off-shell nilpotent and absolutely anticommuting BRST and anti-BRST symmetry transformations for a dynamical non-Abelian 2-form gauge theory using superfield formalism, including new restrictions beyond the horizontality condition.

Contribution

It introduces a novel superfield formalism approach to derive complete (anti-) BRST symmetries for non-Abelian 2-form gauge theories, incorporating additional physical restrictions.

Findings

Derived off-shell nilpotent (anti-) BRST transformations.

Constructed invariant coupled Lagrangian densities.

Identified additional restrictions needed for symmetry derivation.

Abstract

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical non-Abelian 2-form gauge theory within the framework of geometrical superfield formalism. We obtain the (anti-) BRST invariant coupled Lagrangian densities that respect the above nilpotent symmetry transformations. We discuss, furthermore, this (anti-) BRST invariance in the language of the superfield formalism. One of the novel features of our investigation is the observation that, in addition to the horizontality condition, we have to invoke some other physically relevant restrictions to deduce the exact (anti-) BRST symmetry transformations for all the fields of the topologically massive non-Abelian gauge theory.