ar X iv : h ep - p h / 05 03 07 1 v 1 8 M ar 2 00 5 hep - ph / 0503071 D - term inflation in D - brane cosmology

We consider hybrid inflation in the braneworld scenario. In particular, we consider inflation in global supersymmetry with the D-terms in the scalar potential for the inflaton field to be the dominant ones (D-term inflation). We find that D-term dominated inflation can naturally accomodate all requirements of the successful hybrid inflationary model also in the framework of D-brane cos-mology with global supersymmetry. The reheating temperature after inflation can be high enough (∼ 10 10 GeV) for successful thermal leptogenesis.