Solving Cosmological Problems of Supersymmetric Axion Models in an   Inflationary Universe
  We revisit inflationary cosmology of axion models in the light of recent developments on the inflaton decay in supergravity. We find that all the cosmological difficulties, including gravitino, axino overproduction and axionic isocurvature fluctuation, can be avoided if the saxion field has large initial amplitude during inflation and decays before big-bang nucleosynthesis. 
Masahiro Kawasaki, Kazunori Nakayama