KEK Theory Seminar (Dr. Takahiro Terada)
Gravitino abundance is a crucially important quantity in cosmology with supersymmetry. We revisit non-thermal gravitino production after inflation in supergravity paying particular attention to inflation models with a stabilizer field, in which gravitino production by preheating has not been studied. This analysis is particularly important for Z_2 symmetric large-field models, to which perturbative analyses in the literature are not applicable. We find that the transverse gravitino abundance, which is the dominant component in the case without a stabilizer field, is much suppressed in the case with a stabilizer field. The case of the inflaton potential quartic around the minimum without the stabilizer field predicts too many gravitinos, while the cases of the quadratic potential or with a stabilizer field predicts non-thermal gravitino abundance less than the thermal contribution.