Abstract
We revisit the F-term hybrid inflation model in supergravity.In particular, we point out that a constant term in the superpotential has significant effects on the inflaton dynamics.It is shown that the hybrid inflation model suffers from several potential problems: tuning of the initial condition, gravitino overproduction andformation of cosmic strings, for both minimal and non-minimal Kähler potentials.These problems can only be avoided in gauge-mediated SUSY breaking modelswhere the gravitino is relatively light and the constant term in the superpotential is not important.Implications on the non-thermal leptogenesis scenario are also described.
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