α-attractors: Planck, LHC and dark energy

• Published in: The journal of high energy physics 2015-10, Vol.2015 (10), p.1-20, Article 147
• Main Authors: Carrasco, John Joseph M., Kallosh, Renata, Linde, Andrei
• Format: Article
• Language: English
• Subjects: Astronomical models; Classical and Quantum Gravitation; Constraints; Dark energy; Elementary Particles; General Relativity and Quantum Cosmology; Gravitinos; High Energy Physics - Theory; Inflation; Mathematical models; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scale (ratio); String Theory; Texts
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP10(2015)147

A bstract We develop four-parameter supergravity models of inflation and dark energy, constrained so that δ ρ ρ , 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 Kähler 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 Kähler 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.