Unified model of chaotic inflation and dynamical supersymmetry breaking

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.

Planck mass and inflation as consequences of dynamically broken scale invariance

“…1 However, our concept to arrive at the Einstein-Hilbert kinetic term for the gravitational field that couples to the inflaton field is different: We rely on the strong dynamics in a non-Abelian gauge theory that break scale invariance spontaneously, while the model of [40] has no strongly interacting gauge sector, so the hard breaking of conformal symmetry by the conformal anomaly [52][53][54] (i.e., the running of coupling constants) plays a crucial role. Finally, we mention that the supersymmetric models discussed in [55][56][57][58][59][60][61] also make use of strongly coupled gauge dynamics in a hidden sector to generate the energy scale of inflation. However, these models simply assume the presence of the Einstein-Hilbert term from the very beginning and hence offer no dynamical explanation for the origin of the Planck scale.…”

A microscopic model for inflation from supersymmetry breaking

“…We now integrate out V in the following way: It is convenient to rewrite the W W -part of (4.39) using the formula (A.18), 13 1 4…”

“…47) 13 Its proof is outlined at the end of Appendix A. 14 One might have wondered why the equations (4.42), (4.44) and (4.45) have terms proportional to V with weights (0, 0) despite the condition that they should have weight (2, 0) for the action to be superconformally invariant.…”

“…A positive quartic correction to K is then needed to create a flat maximum at the origin providing naturally slow-roll small-field inflation in a model independent way. Indeed, the effective field theory has two parameters that can fit the amplitude and the spectral index of 1 See [2][3][4] for earlier works on relating supersymmetry breaking with inflation and also [5][6][7][8][9][10][11][12][13][14][15] for related approaches along this direction. 2 The η-problem is also evaded in hybrid inflation models by a somewhat similar way (see e.g.…”

Inflation from high-scale supersymmetry breaking

“…Dynamical SUSY breaking (DSB) first occurs in the hidden sector and is then mediated to the MSSM. More recently, a number of related models have been constructed in [42][43][44]. 1 All these models have in common that the energy scales of inflation and SUSY breaking end up being related to the dynamical scale Λ dyn of the strong dynamics.…”