Abstract
We present the proposal that the superpartner of the goldstino (sgoldstino),which is the source of the supersymmetry breaking, acts as the inflaton. The so-called eta problem can be avoided by imposing a linear superpotential. The inflaton is charged under a gauged \(U(1)_R\)—symmetry. This creates an interesting class of small field inflation models with an inflationary plateau around the maximum of the scalar potential near the origin, where R-symmetry is restored as the inflaton rolls down to a minimum describing the current phase of the universe. The minimum has a positive tuneable vacuum energy, whereas the inflation can be caused by either an F- or a D-term. The models are consistent with cosmological evidence and anticipate a relatively low tensor-to-scalar ratio of primordial perturbations in the simplest scenario. We explored the inflaton’s decay modes after coupling it to the (supersymmetric) Standard Model, with the resulting reheating temperature being roughly \(10^8\) GeV.
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Notes
- 1.
The mass dimensions of Kähler potential, superpotential, gauge kinetic function, Killing potential, and Killing vector are \([\mathcal K]=M^2\), \([\mathcal W]=M^3\), \([\mathcal F_{AB}]=M^0\), \([\mathcal{D}_{A}]=M^2\), \([X^I_{A}]=M\), respectively while scalar fields have canonical mass dimension M.
- 2.
- 3.
We choose non-SUSY running of the couplings because SUSY breaking scale is very high in our models.
- 4.
At the quantum level, a Kähler transformation also introduces a change in the gauge kinetic function f, see for example [18].
- 5.
In order to cancel the chiral anomalies [2], the gauge kinetic function gets a field-dependent correction \(\propto q^2\ln \rho \). However, the correction turns out to be very small and can be neglected below, since q is chosen to be of order of \(10^{-5}\) or smaller.
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Acknowledgements
This work was supported in part by the NSRF via the Program Management Unit for Human Resources and Institutional Development, Research and Innovation [grant number B05F650021]
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Antoniadis, I., Chatrabhuti, A. (2024). Challenges in Particle Physics and Cosmology. In: Aydiner, E., Sidharth, B.G., Michelini, M., Corda, C. (eds) Frontiers of Fundamental Physics FFP16. FFP 2022. Springer Proceedings in Physics, vol 392. Springer, Cham. https://doi.org/10.1007/978-3-031-38477-6_1
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