α-attractors: Planck, LHC and dark energy

John Joseph M Carrasco,Andrei Linde,Renata Kallosh

doi:10.1007/jhep10(2015)147

Abstract

We develop four-parameter supergravity models of inflation and dark energy, constrained so that $$ \frac{\delta \rho }{\rho } $$ , n s and the cosmological constant Λ take their known observable values, but where the mass of gravitino m 3/2 and the tensor-to-scalar ratio r are free parameters. We focus on generalized cosmological α-attractor models, with logarithmic Kahler potentials, a nilpotent goldstino and spontaneously broken supersymmetry at the de Sitter minimum. The future data on B-modes will specify the parameter α, measuring the geometry of the Kahler manifold. The string landscape idea for dark energy is supported in these models via an incomplete cancellation of the universal positive goldstino and negative gravitino contribution. The scale of SUSY breaking M related to the mass of gravitino in our models is a controllable parameter, independent on the scale of inflation, it will be constrained by LHC data and future collider Energy-frontier experiments.

Highlights

Kahler potentials, a nilpotent goldstino and spontaneously broken supersymmetry at the de Sitter minimum
In this paper we have pursued a program of describing the main features of the universe evolution, early universe inflation and current acceleration compatible with the data, as well as providing an explanation of the possible origin of the supersymmetry breaking and the mass of gravitino, compatible with the future data from particle physics
Our new cosmological models in string theory inspired supergravity suggest a possible bottom-up N = 1 supergravity models of inflation which might lead to a successful phenomenology of the early universe and the one which is accelerating

Summary

Review

6α the region most favored by the Planck data, towards the predictions of the Higgs inflation model and conformal attractors r ≈ 0.003 for α = 1, continues further down towards the prediction r ≈ 0.0003 of the GL model [32,33,34] corresponding to α = 1/9, and the line goes even further, all the way down to r → 0 in the limit α → 0. This fact by itself is quite striking.

Stabilizers

Killing-adapted α-attractor supergravity models

Reconstruction models of inflation with SUSY breaking and de Sitter exit

The simplest T-model with broken SUSY and dS exit

General models of inflation with SUSY breaking and dark energy

Discussion