Construction of TYM via Field Redefinitions

Abstract

By constructing a nilpotent extended BRST operator that involves the N=2 global supersymmetry transformations of one chirality, we find exact field redefinitions that allows to construct the Topological Yang Mills Theory from the ordinary Euclidean N=2 Super Yang Mills theory in flat space. We also show that the given field redefinitions yield the Baulieu-Singer formulation of Topological Yang Mills theory when after an instanton inspired truncation of the theory is used.

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