Abstract
We study cosmological $\alpha$-attractors in superconformal/supergravity models, where $\alpha$ is related to the geometry of the moduli space. For $\alpha=1$ attractors \cite{Kallosh:2013hoa} we present a generalization of the previously known manifestly superconformal higher curvature supergravity model \cite{Cecotti:1987sa}. The relevant standard 2-derivative supergravity with a minimum of two chiral multiplets is shown to be dual to a 4-derivative higher curvature supergravity, where in general one of the chiral superfields is traded for a curvature superfield. There is a degenerate case when both matter superfields become non-dynamical and there is only a chiral curvature superfield, pure higher derivative supergravity. Generic $\alpha$-models \cite{Kallosh:2013yoa} interpolate between the attractor point at $\alpha=0$ and generic chaotic inflation models at large $\alpha$, in the limit when the inflaton moduli space becomes flat. They have higher derivative duals with the same number of matter fields as the original theory or less, but at least one matter multiplet remains. In the context of these models, the detection of primordial gravity waves will provide information on the curvature of the inflaton submanifold of the Kahler manifold, and we will learn if the inflaton is a fundamental matter multiplet, or can be replaced by a higher derivative curvature excitation.
Highlights
Where it was shown that the cosmological observables are universal and do not depend on the choice of the function f
We study cosmological α-attractors in superconformal/supergravity models, where α is related to the geometry of the moduli space
The relevant standard 2-derivative supergravity with a minimum of two chiral multiplets is shown to be dual to a 4-derivative higher curvature supergravity, where in general one of the chiral superfields is traded for a curvature superfield
Summary
The remaining independent variables are defined as Both Z and S have vanishing conformal weight, w = 0, and we are making this choice to fit the definitions in earlier papers. The analysis of cosmology of this model was performed in [1], the term quartic in S was necessary for the stability of the model when the scalar sgoldstino vanishes at the minimum of the potential at S = 0. This requires the superpotential in this class of models to be linear in sgoldstino S. We have 4 scalars from 2 superfields, but 3 of them are heavy near the inflationary trajectory, they quickly go to their minimal values, stop evolving and do not affect the evolution of the universe
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have