Hybrid Inflation and the Moduli Problem
  We revisit some questions in supersymmetric hybrid inflation (SHI). We analyze the amount of fine tuning required in various models, the problem of decay at the end of inflation and the generation of baryons after inflation. We find that the most natural setting for HI is in supersymmetric models with non-renormalizable couplings. Furthermore, we argue that almost inevitably, one of the fields involved is a modulus, with Planck scale variation. The resulting moduli problem can be solved in two ways: either by a massive modulus (which requires some fine tuning), or an enhanced symmetry point, in which the moduli becomes strongly coupled to the Standard Model. Various possibilities for baryon production are discussed. 
Micha Berkooz (Weizmann Inst.), Michael Dine (UC, Santa Cruz), Tomer   Volansky (Weizmann Inst.)