Unified No-Scale Attractors

Abstract

We have presented previously a general treatment of Starobinsky-like inflation in no-scale supergravity where the tensor-to-scalar ratio $r = 3(1 - n_s)^2$, and $n_s$ is the tilt of the scalar perturbations. In particular, we have shown how this scenario can be unified with modulus fixing, supersymmetry breaking and a small cosmological constant. In this paper we extend these constructions to inflationary models based on generalized no-scale structures. In particular, we consider alternative values of the curvature parameter, $\alpha < 1$, as may occur if not all the complex K\"ahler moduli contribute to driving inflation, as well as $\alpha > 1$, as may occur if complex structure moduli also contribute to driving inflation. In all cases, we combine these $\alpha$-Starobinsky inflation models with supersymmetry breaking and a present-day cosmological constant, allowing for additional contributions to the vacuum energy from stages of gauge symmetry breaking.