Abstract
We develop a new class of supergravity cosmological models where inflation is induced by terms in the Kähler potential which mix a nilpotent superfield S with a chiral sector Φ. As the new terms are non-(anti)holomorphic, and hence cannot be removed by a Kähler transformation, these models are intrinsically Kähler potential driven. Such terms could arise for example due to a backreaction of an anti-D3 brane on the string theory bulk geometry. We show that this mechanism is very general and allows for a unified description of inflation and dark energy, with controllable SUSY breaking at the vacuum. When the internal geometry of the bulk field is hyperbolic, we prove that small perturbative Kähler corrections naturally lead to α-attractor behaviour, with inflationary predictions in excellent agreement with the latest Planck data.
Highlights
One of the key goals of modern theoretical physics is to find a UV complete description of our Universe, unifying particle physics with cosmology at both early and late times
In the context of string theory, this becomes a question of backreaction of the D3 on the bulk geometry, which would manifest itself in the d = 4 supergravity theory as couplings between the nilpotent superfield and the bulk moduli
In this work we have developed models of inflation in supergravity where inflation is driven by terms in the Kahler potential which mix the inflaton field with a nilpotent superfield, even in the absence of a superpotential for the inflationary sector
Summary
One of the key goals of modern theoretical physics is to find a UV complete description of our Universe, unifying particle physics with cosmology at both early and late times. Some of the most interesting aspects have emerged in the context of string theory It was realized in [10] that the four dimensional description of antiD3 branes in an N = 1 flux background, famously used by ‘KKLT’ to construct de Sitter vacua in string theory [11], is a supergravity theory of a nilpotent superfield, wherein supersymmetry is non-linearly realized. In the context of string theory, this becomes a question of backreaction of the D3 on the bulk geometry, which would manifest itself in the d = 4 supergravity theory as couplings between the nilpotent superfield and the bulk moduli It is the task of model builders to argue that such corrections do not affect the dynamics of the model under consideration, and in particular, that the corrections to the Kahler potential are suppressed and do not lead to an η-problem [20].
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