  We show that the perturbation of an N=2 supersymmetric gauge theory by a
superpotential linear in the Kahler normal coordinates of the Coulomb branch,
discussed in arXiv:0704.3613, is equivalent to the perturbation by
Fayet-Iliopoulos terms. It follows that the would-be meta-stable vacuum at the
origin of the normal coordinates in fact preserves N=1 supersymmetry unless the
superpotential is truncated to a finite-degree polynomial of the adjoint scalar
fields. We examine the criteria for supersymmetry breaking under a perturbation
by Fayet-Iliopoulos terms and present a general classification of
non-supersymmetric critical points. In some explicit examples, we are also able
to study local stability of these points and demonstrate that, if the
perturbation is chosen appropriately, they indeed correspond to
supersymmetry-breaking vacua. Relations of these constructions to flux
compactifications and geometric meta-stability are also discussed.
