REALIZATION OF W1+INFINITY AND VIRASORO ALGEBRAS IN SUPERSYMMETRIC THEORIES ON 4 MANIFOLDS

We demonstrate that a supersymmetric theory twisted on a Kahler four-m anifold M = SIGMA1 x SIGMA2, where SIGMA1,2 are 2-D Riemann surfaces, possesses a ''left-moving'' conformal stress tensor on SIGMA1 (SIGMA2) in the BRST cohomology. The central charge of the Virasoro algebra ha s a purely geometric origin and is proportional to the Euler character istic of the SIGMA2 (SIGMA1) surface. This structure is shown to be in variant under renormalization group. We also give a representation of the algebra W1+infinity in terms of a free chiral supermultiplet.