Type I Hilltop Inflation and the Refined Swampland Criteria

Abstract

In this paper, I show that type I hilltop inflation under the current observational constaints could have $M_P^2\frac{V^{\prime \prime }}{V}\sim -\mathcal{O}(10^{-2})$ in the parameter space which is in tension with the refined swampland criteria. On the other hand, $M_P^2\frac{V^{\prime \prime }}{V}\sim -\mathcal{O}(1)$ can be achieved if type I hilltop inflation on the brane is considered.

Comments: 10 pages, 7 figures