$\beta$-function reconstruction of Palatini inflationary attractors
  Attractor inflation is a particularly robust framework for developing
inflationary models that are insensitive to the details of the potential. Such
models are most often considered in the metric formulation of gravity. However,
non-minimal models may not necessarily maintain their attractor nature in the
Palatini formalism where the connection is independent of the metric. In this
work, we employ the $\beta$-function formalism to classify the strong coupling
limit of inflationary models in both the metric and the Palatini approaches.
Furthermore, we determine the range of values for the non-minimal coupling that
lead to theories being observationally indistinguishable in metric and Palatini
within current accuracy. Finally, we reconstruct the Jordan frame potential for
$\xi$-attractors by imposing an explicit form for the $\beta$-function,
demonstrating the effect that the choice of metric or Palatini has on the
inflationary observables of the theory.
