A NOTE ON SUPERSYMMETRY BREAKING

Using a simple observation based on holomorphy, we argue that any mode l which spontaneously breaks supersymmetry for some range of a paramet er will do so generically for all values of that parameter, module som e isolated exceptional points. Conversely, a model which preserves sup ersymmetry for some range of a parameter will also do so everywhere ex cept at isolated exceptional points. We discuss how these observations can be useful in the construction of new models which break supersymm etry and discuss some simple examples. We also comment on the relation of these results to the Witten index. (C) 1997 Published by Elsevier Science B.V.