Noncanonical conformal attractors for single field inflation

Abstract

We extend the idea of conformal attractors in inflation to noncanonical sectors by developing a noncanonical conformally invariant theory from two different approaches. In the first approach, namely, [Formula: see text] supergravity, the construction is more or less phenomenological, where the noncanonical kinetic sector is derived from a particular form of the Kähler potential respecting shift symmetry. In the second approach, i.e. superconformal theory, we derive the form of the Lagrangian from a superconformal action and it turns out to be exactly of the same form as in the first approach. Conformal breaking of these theories results in a new class of noncanonical models which can govern inflation with modulated shape of the T-models. We further employ this framework to explore inflationary phenomenology with a representative example and show how the form of the Kähler potential can possibly be constrained in noncanonical models using the latest confidence contour in the [Formula: see text] plane given by recent Planck and BICEP/Keck results.