ON THE RENORMALIZATION OF TOPOLOGICAL YANG-MILLS FIELD-THEORY IN N=1 SUPERSPACE

We discuss the renormalization aspects of topological super-Yang-Mills field theory in N = 1 superspace. Our approach makes use of the regul arization-independent BRS algebraic technique adapted to the case of a n N = 1 supersymmetric model. We give the expression of the most gener al local counterterm to the classical action to all orders of the pert urbative expansion. The counterterm is shown to be a BRS coboundary, i mplying that the cohomological properties of the supertopological theo ry are not affected by quantum effects. We also demonstrate the vanish ing of the Callan-Symanzik beta-function of the model by employing a r ecently discovered supersymmetric antighost Ward identity.