QUANTIZED BF THEORY IN THE SUPERFIBRE BUNDLE APPROACH

We discuss the quantized, D = 4, non-Abelian BF theory within the supe rfibre bundle formalism. By introducing an even pseudotensorial 2-supe rform over a principal superfibre bundle with superconnection, we obta in the geometrical BRST and anti-BRST transformations of the fields oc curring in such a theory. These are the closed module classical equati ons of motion. Then, giving a prescription to construct the gauge-fixi ng action through a modified BRST operator, we determine the on-shell nilpotent BRST symmetry and the quantum action. We also show how this quantum action is invariant under the on-shell nilpotent anti-BRST sym metry obtained by modifying the geometrical anti-BRST operator. Howeve r, we find that, in relation to the anti-BRST symmetry, the quantum ac tion also possesses a vector supersymmetry of ghost number (+1).