Hybrid inflation in high-scale supersymmetry
  In hybrid inflation, the inflaton generically has a tadpole due to
gravitational effects in supergravity, which significantly changes the inflaton
dynamics in high-scale supersymmetry. We point out that the tadpole can be
cancelled if there is a supersymmetry breaking singlet with gravitational
couplings, and in particular, the cancellation is automatic in no-scale
supergravity. We consider the LARGE volume scenario as a concrete example and
discuss the compatibility between the hybrid inflation and the moduli
stabilization. We also point out that the dark radiation generated by the
overall volume modulus decay naturally relaxes a tension between the observed
spectral index and the prediction of the hybrid inflation.
