TOPOLOGICAL YANG-MILLS THEORY WITH 2 FERMIONIC CHARGES - A SUPERFIELDAPPROACH ON KAHLER-MANIFOLDS

The four-dimensional topological Yang-Mills theory with two anticommut ing charges is naturally formulated on Kahler manifolds. By using a su perspace approach we clarify the structure of the Faddeev-Popov sector and determine the total action. This enables us to perform perturbati on theory around any given instanton configuration by manifestly maint aining all the symmetries of the topological theory. The superspace fo rmulation is very useful for recognizing a trivial observable (i.e. ha ving vanishing correlation functions only) as the highest component of a gauge-invariant superfield. As an example of non-trivial observable s we construct the complete solution to the simultaneous cohomology pr oblem of both fermionic charges. We also show how this solution has to be used in order to make Donaldson's interpretation possible.