Abstract
We focus on the large field of a hyperbolic potential form, which is characterized by a parameter f, in the framework of the brane-world inflation in Randall-Sundrum-II model. From the observed form of the power spectrum P R (k), the parameter f should be of order 0.1m p to 0.001m p , the brane tension must be in the range λ ~ (1−10)×1057 GeV4, and the energy scale is around V0 1/4 ~ 1015 GeV. We find that the inflationary parameters (n s , r, and dn s /d(ln k) depend only on the number of e-folds N. The compatibility of these parameters with the last Planck measurements is realized with large values of N.
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