TWISTED N=4 SUSY ALGEBRA IN TOPOLOGICAL MODELS OF SCHWARZ TYPE

We reinvestigate the twisted N=4 supersymmetry present in Schwarz type topological field models. We show that Chem-Simons theory in three di mensions can be untwisted to a kind of sigma-model with reversed stati stics only in the free case. By dimensional reduction we define then t he two-dimensional BF-model. We establish an analog result concerning the untwisting, As a consequence of the definition through dimensional reduction we find new fermionic scalar symmetries that have been over looked so far in the literature. (C) 1998 Elsevier Science B.V. All ri ghts reserved.