Abstract
Including logarithmic corrections to the minimal Kähler potential, we revisit the F-term inflationary scenario in supergravity. We find that logarithmic terms in the Kähler potential allow a trajectory along which a given symmetry is spontaneously broken during inflation epoch. Accordingly, unwanted topological defects such as magnetic monopoles and cosmic strings can be diluted away. The new parameter accompanied with the Kähler potential is helpful to adjust the spectral index to be consistent with the observational data.
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Notes
“eta” (\(\eta \)) is one of the slow-roll parameters associated with the inflaton mass or the second derivative of the scalar potential with respect to the inflaton field.
Diluting away various heavy topological defects induced when a symmetry is spontaneously broken was one of important motivations to introduce the cosmological inflation [1].
In Ref. [13], logarithmic corrections to the minimal Kähler potential were studied in the “D-term” inflationary model.
The U(1)\(_R\) symmetry is unique in \(N=1\) SUSY theory. Although the superpotential W carries the unit charge, the full Lagrangian as well as the scalar potential still remain invariant under the U(1)\(_R\) symmetry in the \(N=1\) SUSY theory.
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Acknowledgements
This work was supported by a 2-year Research Grant of Pusan National University.
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Kyae, B. Kähler correction to F-term inflation in supergravity. J. Korean Phys. Soc. (2024). https://doi.org/10.1007/s40042-024-01047-1
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DOI: https://doi.org/10.1007/s40042-024-01047-1