BRST FORMULATION OF 4-MONOPOLES

A supersymmetric gauge-invariant action is constructed over any four-d imensional Riemannian manifold describing Witten's theory of 4-monopol es. The topological supersymmetric algebra closes off-shell. The multi plets include the auxiliary fields and the Wess-Zumino fields in an un usual way, arising naturally from BRST gauge fixing. A new canonical a pproach over Riemann manifolds is followed, using a Morse function as a Euclidean time and taking into account the BRST boundary conditions that come from the BFV formulation. This allows a construction of the effective action starting from gauge principles.