D-term Chaotic Braneworld in Supergravity Constrained by WMAP9 Data

We study a supergravity D-term chaotic inflationary model, in the context of the braneworld scenario, in particular we consider the Randall-Sundrum model type 2. Using the latest release from the combination of W M AP9, eCMB, BAO, and H-0, we show that the inflation observables depend only on the number of e-folds N. We also derive all known spectrum inflationary parameters, which are widely consistent with W M AP9 data for a particular choice of values N specially for the scalar spectral index n(s) and the ratio r. However, the running of the scalar spectral index dn(s)/dlnk is now excluded from the range given by the latest observational measurements.