Vector supersymmetry in topological field theories

We present a simple derivation of vector supersymmetry transformations for topological field theories of Schwarzand Witten-type. Our method is similar to the derivation of BRSTtransformations from the so-called horizontality conditions or Russian formulae. We show that this procedure reproduces in a concise way the known vector supersymmetry transformations of various topological models and we use it to obtain some new transformations of this type for 4d topological YM-theories in different gauges. On sabbatical leave from Institut de Physique Nucléaire de Lyon, Université Claude Bernard, 43, boulevard du 11 novembre 1918, F-69622-Villeurbanne. Work supported by “The Danish Research Academy”. Work supported by the “Fonds zur Förderung der Wissenschaflicher Forschung”, under Project Grant Number P11582-PHY. email: [email protected]