  We show that a moduli space of the form predicted by string theory, lifted by
supersymmetry breaking, gives rise to successful inflation for large regions of
parameter space without any modification or fine tuning. This natural
realization of inflation relies crucially on the complex nature of the moduli
fields and the multiple points of enhanced symmetry, which are generic features
of moduli space but not usually considered in inflationary model building.
  Our scenario predicts cosmic perturbations with an almost exactly flat
spectrum for a wide range of scales with running on smaller, possibly
observable, scales. The running takes the form of either an increasingly steep
drop off of the spectrum, or a rise to a bump in the spectrum before an
increasingly steep drop off.
