Inflation and Integrable one-field Cosmologies embedded in Rheonomic Supergravity

Understand

In this paper we show that the new approach to the embedding of the inflationary potentials into supergravity, presented in a quite recent paper [11] of Ferrara, Kallosh, Linde and Porrati can be formulated within the framework of standard matter coupled supergravity, without the use of the new minimal auxiliary set and of conformal compensators.

• The only condition is the existence of a translational Peccei Quinn isometry of the scalar Kahler manifold.
• We suggest that this embedding strategy based on a nilpotent gauging amounts to a profound Copernican Revolution.
• The properties of the inflaton potential are encoded in the geometry of some homogeneous one-dimensional Kahler manifolds that now should be regarded as the primary object, possibly providing a link with microscopic physics.