Duality in a 3D Field-Theoretic Model

We demonstrate the duality symmetry between the Abelian 1-form and 2-form basic gauge fields in the context of a three (2 + 1)-dimensional (3D) combined system of the field-theoretic model for the free Abelian 1-from and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism where the classical gauge-fixed Lagrangian density of this theory is generalized to its quantum counterpart as the BRST and co-BRST invariant Lagrangian density. We show clearly the existence of the off-shell nilpotent (co-)BRST symmetry transformations and establish their intimate connection through a set of underlying discrete duality symmetry transformations in our BRST-quantized theory. We briefly mention a bosonic symmetry transformation which is generated from the anticommutator of the above (co-)BRST symmetry transformations. We lay emphasis on the algebraic structures of the existing continuous as well as the discrete symmetry transformations in our theory (where they are treated as operators).
Comment: LaTeX file, 13 pages