Non-canonical Conformal Attractors for Single Field Inflation

Understand

We extend the idea of conformal attractors in inflation to non-canonical sectors by developing a non-canonical conformally invariant theory from two different approaches.

• In the first approach, namely, ${\cal N}=1$ supergravity, the construction is more or less phenomenological, where the non-canonical kinetic sector is derived from a particular form of the K\"ahler 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 non-canonical models which can govern inflation with modulated shape of the T-models.