Abstract :
Supergravity models are constructed in which the effective low energy theory contains only “super-soft” explicit supersymmetry breaking: masses of the scalars and pseudoscalars within a multiplet are split in opposite directions. With this form of supersymmetry breaking the radiative corrections of the matter sector to the vacuum energy are bounded by O(MSusy4) to all orders in perturbation theory, and we require Str M2 = 0 including the hidden sector. The models are based on Kähler potentials obtained in recent orbifold compactifications, and we describe the construction of realistic theories.