Cosmological Attractors from αα-Scale Supergravity

preprint2015arXivOpen access

Abstract

The Planck value of the spectral index can be interpreted as ns=1−2/Nn_s = 1 - 2/N in terms of the number of e-foldings NN. An appealing explanation for this phenomenological observation is provided by αα-attractors: the inflationary predictions of these supergravity models are fully determined by the curvature of the Kahler manifold. We provide a novel formulation of αα-attractors which only involves a single chiral superfield. Our construction involves a natural deformation of no-scale models, and employs these to construct a De Sitter plateau with an exponential fall-off. Finally, we show how analogous structures with a flat Kahler geometry arise as a singular limit of such αα-scale models.

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