1 Albert Einstein Center, ITP, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland 2 LPTHE, UMR CNRS 7589, Sorbonne Universités, UPMC Paris 6, 75005 Paris, FranceShow Abstract
I describe the phenomenology of a model of supersymmetry breaking in the presence of a tiny (tuneable) positive cosmological constant. It utilises a single chiral multiplet with a gauged shift symmetry, that can be identified with the string dilaton (or an appropriate compactification modulus). The model is coupled to the MSSM, leading to calculable soft supersymmetry breaking masses and a distinct low energy phenomenology that allows to differentiate it from other models of supersymmetry breaking and mediation mechanisms. We also study the question if this model can lead to inflation by identifying the dilaton with the inflaton. We find that this is possible if the Kähler potential is modified by a term that has the form of NS5-brane instantons, leading to an appropriate inflationary plateau around the maximum of the scalar potential, depending on two extra parameters. We then generalise this model to a general class where the inflation is driven by supersymmetry breaking with the superpartner of the goldstino (sgoldstino) playing the role of the inflaton. Imposing an R-symmetry allows to satisfy easily the slow-roll conditions, avoiding the so-called h-problem, and leads to two different classes of small field inflation models; they are characterised by an inflationary plateau around the maximum of the scalar potential, where R-symmetry is either restored or spontaneously broken, with the inflaton rolling down to a minimum describing the present phase of our Universe. The models agree with cosmological observations and predict a tensor-toscalar ratio of primordial perturbations 10-9 ≲ r ≲ 10-4 and an inflation scale 1010 GeV ≲ H∗≲ 1012GeV.
1 Center for Fundamental Physics, Zewail City of Science and Technology, 6 October City, Giza, Egypt.Show Abstract
We consider the case where the inflaton is non-singlet in a supergravity framework. The $\eta$-problem is avoided by defining a shift symmetry on the charged inflaton fields in a consistent way with the gauge symmetry.We review two scenarios, one of them depends on a $U(1)$ gauge symmetry group and the other depends on flipped GUT gauge symmetry.