Canonical supergravity potentials

We investigate the potentials of supergravity models with canonical kinetic energy and derive several properties. If the model isR-invariant with non-negativeR-charges, we prove that the potential is strictly positive and vanishes without finetuning if and only if supersymmetry is unbroken. Allowing for negativeR-charges we present a model where supersymmetry is broken in the absolute minimum which is finetuned toV _min=0.