D-term inflation and nonperturbative Kähler potential of dilaton

We study the D-term inflation scenario with a nonperturbative Kähler potential of the dilaton field. Although the FI term which leads an inflationary expansion is given by the derivative of the Kähler potential with respect to the dilaton in heterotic string models with anomalous U(1), the too large magnitude is problematic for a viable D-term inflation. In this paper, we point out that the Kähler potential with a nonperturbative term can reduce the magnitude of FI term to desired values while both the dilaton stabilization and D-term domination in the potential are realized by nonperturbative superpotential.