Abstract
We discuss N=1 supergravity inflationary models based on two chiral multi-plets, the inflaton and the goldstino superfield. Using superconformal methods for these models, we propose to replace the unconstrained chiral goldstino multiplet by the nilpotent one associated with non-linearly realized supersymmetry of the Volkov-Akulov type. In the new cosmological models, the sgoldstino is proportional to a bilinear combination of fermionic goldstinos. It does not acquire any vev, does nor require stabilization, and does not affect the cosmological evolution. We explain a universal relation of these new models to κ-symmetric super-Dp-brane actions. This modification significantly simplifies a broad class of the presently existing inflationary models based on supergravity and string theory, including the simplest versions of chaotic inflation, the Starobinsky model, a broad class of cosmological attractors, the Higgs inflation, and much more. In particular, this is a step towards a fully supersymmetric version of the string theory axion monodromy inflation. The new construction serves as a simple and manifestly supersymmetric uplifting tool in the KKLT-type string theory landscape.
Highlights
G is a goldstino fermion, its supersymmetric scalar partner s is a sgoldstino, and FS is an auxiliary field of the goldstino multiplet
This modification significantly simplifies a broad class of the presently existing inflationary models based on supergravity and string theory, including the simplest versions of chaotic inflation, the Starobinsky model, a broad class of cosmological attractors, the Higgs inflation, and much more
A supergravity model of a quadratic chaotic inflation [21,22,23] was proposed in [4], where the Kahler potential has a shift symmetry broken by the superpotential
Summary
Our review of the super-Dp-branes and derivation of the DBI-VA actions from D-branes is based on [63] and mostly on the recent detailed studies in [64] and references therein. For the supersymmetric Dp-brane actions, the maps X ({Xμ}) are replaced with supermaps Z = (X, θ) ({ZM }) and the various bosonic supergravity fields with the corresponding superfields of which they are the leading component in a θ-expansion. At this point things become rather technical in [62], there is one nice and simple feature in this construction: it is ‘democratic’ in the sense that both type IIA as well as type IIB Dp-branes are described, with even and odd p, in the same construction. We will show that the fermionic goldstino interacts with the NS-NS 2-form Bμν of the supergravity in d=10 as well as with other fields of the d=10 supergravity, including RR forms
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