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Title: Volume modulus inflection point inflation and the gravitino mass problem

Abstract

Several models of inflection point inflation with the volume modulus as the inflaton are investigated. Non-perturbative superpotentials containing two gaugino condensation terms or one such term with threshold corrections are considered. It is shown that the gravitino mass may be much smaller than the Hubble scale during inflation if at least one of the non-perturbative terms has a positive exponent. Higher order corrections to the Kaehler potential have to be taken into account in such models. Those corrections are used to stabilize the potential in the axion direction in the vicinity of the inflection point. Models with only negative exponents require uplifting and in consequence have the supersymmetry breaking scale higher than the inflation scale. Fine-tuning of parameters and initial conditions is analyzed in some detail for both types of models. It is found that fine-tuning of parameters in models with heavy gravitino is much stronger than in models with light gravitino. It is shown that recently proposed time dependent potentials can provide a solution to the problem of the initial conditions only in models with heavy gravitino. Such potentials can not be used to relax fine tuning of parameters in any model because this would lead to values ofmore » the spectral index well outside the experimental bounds.« less

Authors:
;  [1]
  1. Institute of Theoretical Physics, University of Warsaw, ul. Hoza 69, PL-00-681 Warsaw (Poland)
Publication Date:
OSTI Identifier:
22156895
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2009; Journal Issue: 02; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; HUBBLE EFFECT; INFLATIONARY UNIVERSE; MATHEMATICAL SOLUTIONS; POTENTIALS; SUPERSYMMETRY; SYMMETRY BREAKING; TIME DEPENDENCE

Citation Formats

Badziak, Marcin, and Olechowski, Marek. Volume modulus inflection point inflation and the gravitino mass problem. United States: N. p., 2009. Web. doi:10.1088/1475-7516/2009/02/010.
Badziak, Marcin, & Olechowski, Marek. Volume modulus inflection point inflation and the gravitino mass problem. United States. https://doi.org/10.1088/1475-7516/2009/02/010
Badziak, Marcin, and Olechowski, Marek. Sun . "Volume modulus inflection point inflation and the gravitino mass problem". United States. https://doi.org/10.1088/1475-7516/2009/02/010.
@article{osti_22156895,
title = {Volume modulus inflection point inflation and the gravitino mass problem},
author = {Badziak, Marcin and Olechowski, Marek},
abstractNote = {Several models of inflection point inflation with the volume modulus as the inflaton are investigated. Non-perturbative superpotentials containing two gaugino condensation terms or one such term with threshold corrections are considered. It is shown that the gravitino mass may be much smaller than the Hubble scale during inflation if at least one of the non-perturbative terms has a positive exponent. Higher order corrections to the Kaehler potential have to be taken into account in such models. Those corrections are used to stabilize the potential in the axion direction in the vicinity of the inflection point. Models with only negative exponents require uplifting and in consequence have the supersymmetry breaking scale higher than the inflation scale. Fine-tuning of parameters and initial conditions is analyzed in some detail for both types of models. It is found that fine-tuning of parameters in models with heavy gravitino is much stronger than in models with light gravitino. It is shown that recently proposed time dependent potentials can provide a solution to the problem of the initial conditions only in models with heavy gravitino. Such potentials can not be used to relax fine tuning of parameters in any model because this would lead to values of the spectral index well outside the experimental bounds.},
doi = {10.1088/1475-7516/2009/02/010},
url = {https://www.osti.gov/biblio/22156895}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 02,
volume = 2009,
place = {United States},
year = {2009},
month = {2}
}