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

Abstract

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical four (3 + 1)-dimensional (4D) 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 present investigation is the observation that, in addition to the horizontality condition, we are theoretically compelled to invoke some other physically relevant restrictions in order to deduce the precise (anti-)BRST symmetry transformations for all the fields of a topologically massive 4D non-Abelian gauge theory.