α-attractors from supersymmetry breaking
Abstract
We construct new models of inflation and spontaneous supersymmetry breaking in de Sitter vacuum, with a single chiral superfield, where inflaton is the superpartner of the goldstino. Our approach is based on hyperbolic K\"ahler geometry, and a gauged (non-axionic) U(1)R symmetry rotating the chiral scalar field by a phase. The U(1)R gauge field combines with the angular component of the chiral scalar to form a massive vector, and single-field inflation is driven by the radial part of the scalar. We find that in a certain parameter range they can be approximated by simplest Starobinsky-like (E-model) α-attractors, thus predicting ns and r within 1σ CMB constraints. Supersymmetry (and R-symmetry) is broken at a high scale with the gravitino mass m3/2 1014 GeV, and the fermionic sector also includes a heavy spin-1/2 field. In all the considered cases the inflaton is the lightest field of the model.