Palatini Linear Attractors Are Back in ACTion

Abstract

Recent results from the Atacama Cosmology Telescope (ACT) indicate a scalar spectral index $n_s\simeq 0.9743$, in excellent agreement with the prediction of linear inflation. However, the corresponding tensor-to-scalar ratio $r\simeq 0.0667$ is in tension with current observational bounds. In this work, we investigate how this tension can be alleviated in the Palatini formulation of gravity. We consider two classes of models based on simple monomial potentials: (i) models with a non-minimal coupling between the inflaton and gravity, and (ii) models including an $\alpha R^2$ term. In the first case, we find that a quadratic potential with a linear non-minimal coupling leads to the linear inflation attractor, with $r$ suppressed as $\xi$ increases. In the second case, we show that a linear potential can yield values of $r$ consistent with observations for sufficiently large $\alpha$. Our results demonstrate that simple monomial models can remain compatible with current observational constraints when embedded in the Palatini framework.

Comments: 4 pages, 2 figures