2 v 1 1 8 A ug 1 99 3 Cosmological Implications of Dynamical Supersymmetry Breaking ∗

We provide a taxonomy of dynamical supersymmetry breaking theories, and discuss the cosmological implications of the various types of models. Models in which supersymmetry breaking is produced by chiral superfields which only have interactions of gravitational strength (e.g. string theory moduli) are inconsistent with standard big bang nucleosynthesis unless the gravitino mass is greater than O(3)× 10 GeV. This problem cannot be solved by inflation. Models in which supersymmetry is dynamically broken by renormalizable interactions in flat space have no such cosmological problems. Supersymmetry can be broken either in a hidden or the visible sector. However hidden sector models suffer from several naturalness problems and have difficulties in producing an acceptably large gluino mass. hep-ph@xxx/9308292, UCSD/PTH 93-26, RU-37 July 1993 ∗ This work is supported in part by funds provided by the U. S. Department of Energy (D.O.E.) under contracts #DOE-FG03-90ER40546and DE-FG0590ER40559, by the National Science Foundation under grant PHY-9057135, by the Sloan Foundation and by the Texas National Research Laboratory Commission under grant #RGFY93-206. † National Science Foundation Young Investigator Award. # Alfred P. Sloan Foundation Research Fellowship.