CONSTRAINTS ON THE MINIMAL SUPERGRAVITY MODEL FROM NONSTANDARD VACUA

We evaluate regions of parameter space in the minimal supergravity mod el where ''unbounded from below'' (UFB) or charge or color-breaking mi nima (CCB) occur. Our analysis includes the most important terms from the one-loop effective potential. We note a peculiar discontinuity of results depending on how renormalization group improvement is performe d: One case leads to a UFB potential throughout the model parameter sp ace, while the other typically agrees quite well with similar calculat ions performed using only the tree level potential. We compare our res ults with constraints from cosmology and naturalness and find a perfor med region of parameter space which implies m(g) over bar less than or similar to 725 GeV, m(q) over bar less than or similar to 650 GeV, m( (W) over tilde 1) less than or similar to 225 GeV, and m((l) over bar R) less than or similar to 220 GeV. We discuss the consequences of our results for supersymmetry searches at various colliding beam faciliti es.