Palatini $F(R,X)$: a new framework for inflationary attractors

Understand

Palatini $F(R)$ gravity proved to be a powerful tool in order to realize asymptotically flat inflaton potentials.

• Unfortunately, it also inevitably implies higher-order inflaton kinetic terms in the Einstein frame that might jeopardize the evolution of the system out of the slow-roll regime.
• We prove that a $F(R+X)$ gravity, where $X$ is the inflaton kinetic term, solves the issue.
• Moreover, when $F$ is a quadratic function such a choice easily leads to a new class of inflationary attractors, fractional attractors, that generalizes the already well-known polynomial $\alpha$-attractors.