Reconstruction of extended inflationary potentials for attractors

Understand

We give the procedure to reconstruct the extended inflationary potentials for attractors and use the $\alpha$ attractor and the constant-roll model as examples to show how to reconstruct the class of extended inflationary potentials in the strong coupling limit.

• We also derive the strong coupling condition which the coupling constant $\xi$ satisfies.
• The class of extended inflationary potentials has the same attractor, and the reconstructed extended inflationary potentials are consistent with the observational constraints.
• The existence of the attractors from extended inflationary models further challenges the model discrimination just by the observables $n_s$ and $r$.