Abstract
We consider the supersymmetry breaking effects on typical inflation models with different types of K\"ahler potential. The critical size of supersymmetry-breaking scale, above which the flatness of the inflaton potential is spoiled, drastically changes model by model. We present the universal description of such effects in terms of a field-dependent scaling factor by which gravity-mediated supersymmetry breaking terms are suppressed or enhanced, based on the conformal supergravity framework. Such a description would be useful when we estimate them in constructing supersymmetric models of particle cosmology.
Highlights
Models in supergravity, more general Kahler potential structures including such as the Heisenberg symmetry are discussed
We present the universal description of such effects in terms of a field-dependent scaling factor by which gravity-mediated supersymmetry breaking terms are suppressed or enhanced, based on the conformal supergravity framework
It is remarkable that the SUSY breaking effects required at the minimum of the scalar potential can in general affect the global structure of inflaton potential
Summary
We discuss the SUSY breaking effects in three illustrative inflation models which contain different types of Kahler potential. We find that both the following two types of Kahler potential Kmin and Kshift give a canonical kinetic term for the chiral multiplet Φ contained in each of them. The first type, Kmin, and the third one, Kshift, will be called minimal forms in the Einstein frame SUGRA, while the second one, Kconf , should be referred to as the minimal one in such a sense that it produces a canonical kinetic term in Jordan frame SUGRA.. For the purpose of our study, we will employ the D-term hybrid inflation [17, 18], the universal attractor inflation [19], and the chaotic inflation [8,9,10], each has the Kahler potential Kmin, Kconf and Kshift respectively, and study the SUSY breaking effects on these typical and illustrative inflation models, looking at the difference between them
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