Gravitino Overproduction in Inflaton Decay

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  • 31 March 2006
Abstract
Most of the inflation models end up with non-vanishing vacuum expectation values of the inflaton fields \phi in the true vacuum, which induce, in general, nonvanishing auxiliary field G_\phi for the inflaton potential in supergravity. We show that the presence of nonzero G_\phi gives rise to inflaton decay into a pair of the gravitinos and are thereby severely constrained by cosmology. For several inflation models, we explicitly calculate the values of G_\phi and find that most of them are excluded or on the verge of being excluded. We conclude that an inflation model with vanishing G_\phi, typically realized in a chaotic inflation, is favored in a sense that it naturally avoids the potential gravitino overproduction problem.

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