TOPOLOGICALLY MASSIVE NON-ABELIAN THEORY: SUPERFIELD APPROACH

We apply the well-established techniques of geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism in the context of four (3 + 1)-dimensional (4D) dynamical non-Abelian 2-form gauge theory by exploiting its inherent scalar and vector gauge symmetry transformations and derive the corresponding off-shell nilpotent and absolutely anticommuting BRST and anti-BRST symmetry transformations. Our approach leads to the derivation of three (anti-)BRST invariant Curci-Ferrari (CF)-type restrictions that are found to be responsible for the absolute anticommutativity of the BRST and anti- BRST symmetry transformations. We derive the coupled Lagrangian densities that respect the (anti-) BRST symmetry transformations corresponding to the vector gauge transformations. We also capture the (anti-) BRST invariance of the CF-type restrictions and coupled Lagrangian densities within the framework of our superfield approach. We obtain, furthermore, the off-shell nilpotent (anti-) BRST symmetry transformations when the (anti-) BRST symmetry transformations corresponding to the scalar and vector gauge symmetries are merged together. These off-shell nilpotent merged (anti-) BRST symmetry transformations are, however, found to be non-anticommuting in nature.