Consistency Relations for Large Field Inflation

Abstract

Consistency relations for chaotic inflation with a monomial potential and natural inflation and hilltop inflation are given which involve the scalar spectral index $n_s$, the tensor-to-scalar ratio $r$ and the running of the spectral index $\hat{I}\pm$. The measurement of $\hat{I}\pm$ with $O(10^{-3})$ and the improvement in the measurement of $n_s$ could discriminate monomial model from natural/hilltop inflation models. A consistency region for general large field models is also presented.

10 pages, 3 figures, typos corrected, a version to appear in PTEP