Solving the Cosmological Moduli Problem with Weak Scale Inflation
  Many models of supersymmetry breaking involve particles with weak scale mass and Planck mass suppressed couplings. Coherent production of such particles in the early universe destroys the successful predictions of nucleosynthesis. We show that this problem may be solved by a brief period of weak scale inflation. Furthermore the inflaton potential for such an inflation naturally arises from the same assumptions which lead to the cosmological problem. Successful baryogenesis and preservation of density fluctuations for large scale structure formation are also possible in this scenario. 
Lisa Randall and Scott Thomas