  We show that a large class of Euclidean extended supersymmetric lattice gauge
theories constructed in [hep-lat/0302017 - hep-lat/0503039] can be regarded as
compact formulations by using the polar decomposition of the complex link
fields. In particular, the gauge part of the supersymmetric lattice action is
the standard Wilson action. This formulation facilitates the construction of
gauge invariant operators.
