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The eta problem is one of the most significant obstacles to building asuccessful inflationary model in string theory. Planck mass suppressedcorrections to the inflaton potential generally lead to inflaton masses oforder the Hubble scale and generate contributions of order unity to the etaslow roll parameter rendering prolonged slow roll inflation impossible. Wedemonstrate the severity of this problem in the context of brane anti-braneinflation in a warped throat of a Calabi-Yau flux compactification with allphenomenologically dangerous moduli stabilized. Using exact numerical solutionswe show that the eta problem can be avoided in scenarios where the inflaton isnon-minimally coupled to gravity and has Dirac-Born-Infeld (DBI) kinetic term.We show that the resulting cosmic microwave background (CMB) observables suchas measures of non-gaussianites can, in principle, serve as a probe ofscalar-gravity couplings.

Circumventing the eta problem in building an inflationary model in string theory