Twisted N=4 SUSY Algebra in Topological Models of Schwarz Type

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, no figure, Latex

Scientific paper

10.1016/S0370-2693(98)01065-X

We reinvestigate the twisted N=4 supersymmetry present in Schwarz type topological field models. We show that Chern-Simons theory in three dimensions can be untwisted to a kind of sigma-model with reversed statistics only in the free case. By dimensional reduction we define then the 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 overlooked so far in the literature.

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