Abstract
The large hierarchy between the Planck scale and the weak scale can be explained by the dynamical breaking of supersymmetry in strongly coupled gauge theories. Similarly, the hierarchy between the Planck scale and the energy scale of inflation may also originate from strong dynamics, which dynamically generate the inflaton potential. We present a model of the hidden sector which unifies these two ideas, i.e., in which the scales of inflation and supersymmetry breaking are provided by the dynamics of the same gauge group. The resultant inflation model is chaotic inflation with a fractional power-law potential in accord with the upper bound on the tensor-to-scalar ratio. The supersymmetry breaking scale can be much smaller than the inflation scale, so that the solution to the large hierarchy problem of the weak scale remains intact. As an intrinsic feature of our model, we find that the sgoldstino, which might disturb the inflationary dynamics, is automatically stabilized during inflation by dynamically generated corrections in the strongly coupled sector. This renders our model a field-theoretical realization of what is sometimes referred to as sgoldstino-less inflation.
Highlights
Cosmic inflation solves the flatness and horizon problems of big bang cosmology [1,2,3,4], and explains the origin of the primordial density fluctuations that seed the large-scale structure of the universe [5,6,7,8,9]
We present a model of the hidden sector which unifies these two ideas, i.e., in which the scales of inflation and supersymmetry breaking are provided by the dynamics of the same gauge group
To satisfy the upper bound on the tensor-to-scalar ratio in the power spectrum of the cosmic microwave background (CMB) [10], the potential energy during inflation must be much smaller than the scale of gravity, Λinf = V 1/4 10−2MPl
Summary
Cosmic inflation solves the flatness and horizon problems of big bang cosmology [1,2,3,4], and explains the origin of the primordial density fluctuations that seed the large-scale structure of the universe [5,6,7,8,9]. Supersymmetry solves the large hierarchy problem, predicts the unification of the standard model gauge couplings and provides a particle candidate for dark matter. For these reasons, we take up the attitude that supersymmetry as well as its dynamical breaking are some of the leading candidates for new physics beyond the standard model. [13] for an earlier proposal for the unified and dynamical generation of the energy scales of inflation and supersymmetry breaking, which results in a scenario of hybrid inflation [26, 27]. We refer to Ref. [30], which considers a perturbative model (as opposed to our strongly coupled models) in which the inflaton potential as well as the breaking of supersymmetry are both provided by the F term of a single chiral field
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