N. S. Bor?tnik, H. F. Nielsen, M. Y. Khlopov, and D. Lukman, Proceedings to the 21st International Workshop "What Comes Beyond the Standard Models, 2018.

D. H. Lyth and A. Riotto, Particle physics models of inflation and the cosmological density perturbation. Phys. Rept, vol.314, pp.1-146, 1999.

A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity, Phys. Lett, vol.91, pp.99-102, 1980.

I. Antoniadis, A. Chatrabhuti, H. Isono, and R. Knoops, Inflation from Supersymmetry Breaking, Eur. Phys. J. C, vol.77, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02356769

L. Randall and S. D. Thomas, Solving the cosmological moduli problem with weak scale inflation, Nucl. Phys. B, p.229, 1995.

A. Riotto, Inflation and the nature of supersymmetry breaking, Nucl. Phys. B, vol.515, pp.413-435, 1998.

K. I. Izawa, Supersymmetry -breaking models of inflation, Prog. Theor. Phys, vol.99, 1998.

W. Buchmuller, L. Covi, and D. Delepine, Inflation and supersymmetry breaking, Phys. Lett. B, vol.183, p.491, 2000.

I. Antoniadis and R. Knoops, Gauge R-symmetry and de Sitter vacua in supergravity and string theory, Nucl. Phys. B, vol.886, p.43, 2014.

F. Catino, G. Villadoro, and F. Zwirner, On Fayet-Iliopoulos terms and de Sitter vacua in supergravity: Some easy pieces, JHEP, p.2, 2012.

I. Antoniadis, A. Chatrabhuti, H. Isono, and R. Knoops, Inflation from Supergravity with Gauged R-symmetry in de Sitter Vacuum, Eur. Phys. J. C, vol.76, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01522451

N. Cribiori, F. Farakos, M. Tournoy, and A. Van-proeyen, Fayet-Iliopoulos terms in supergravity without gauged R-symmetry, JHEP, vol.32, p.1804, 2018.

I. Antoniadis, A. Chatrabhuti, H. Isono, and R. Knoops, Fayet-Iliopoulos terms in supergravity and D-term inflation, Eur. Phys. J. C, vol.78, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01758557

Y. Aldabergenov and S. V. Ketov, Removing instability of inflation in Polonyi-Starobinsky supergravity by adding FI term, Mod. Phys. Lett. A, vol.32, p.1850032, 2018.

E. Halyo, Hybrid inflation from supergravity D terms, Phys. Lett. B, vol.387, pp.43-47, 1996.

P. Binetruy and G. R. Dvali, D term inflation, Phys. Lett. B, vol.388, pp.241-246, 1996.

I. Antoniadis, Inflation From Supersymmetry Breaking. Universe 2019, 5, 30
URL : https://hal.archives-ouvertes.fr/hal-02356769

J. Wess, J. Bagger, . Supersymmetry, and . Supergravity, , 1992.

F. Englert and R. Brout, Broken Symmetry and the Mass of Gauge Vector Mesons, Phys. Rev. Lett, vol.13, pp.321-323, 1964.

P. W. Higgs, Broken symmetries, massless particles and gauge fields, Phys. Lett, vol.12, pp.132-133, 1964.

P. W. Higgs, Broken Symmetries and the Masses of Gauge Bosons, Phys. Rev. Lett, vol.13, 1964.

P. Fayet and J. Iliopoulos, Spontaneously Broken Supergauge Symmetries and Goldstone Spinors, Phys. Lett, vol.51, pp.461-464, 1974.

I. Antoniadis, D. M. Ghilencea, and R. Knoops, Gauged R-symmetry and its anomalies in 4D N=1 supergravity and phenomenological implications, JHEP, vol.166, p.1502, 2015.

V. Kaplunovsky and J. Louis, Field dependent gauge couplings in locally supersymmetric effective quantum field theories, Nucl. Phys. B, vol.422, pp.57-124, 1994.

D. Z. Freedman, A. V. Proeyen, and . Supergravity, , 2012.

I. Antoniadis, A. Chatrabhuti, H. Isono, and R. Knoops, A microscopic model for inflation from supersymmetry breaking, Eur. Phys. J. C, vol.624, p.79, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02144160

K. Benakli, Y. Chen, and M. D. Goodsell, Minimal constrained superfields and the Fayet-Iliopoulos model, Eur. Phys. J. C, vol.78, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01875671

Y. Akrami, F. Arroja, M. Ashdown, J. Aumont, C. Baccigalupi et al., results. X. Constraints on inflation, 2018.

S. M. Kuzenko, Taking a vector supermultiplet apart: Alternative Fayet-Iliopoulos-type terms, Phys. Lett. B, vol.723, p.781, 2018.

T. Kugo and S. Uehara, Superconformal Tensor Calculus: Multiplets With External Lorentz Indices and Spinor Derivative Operators, Prog. Theor. Phys, vol.73, 1985.

S. Ferrara, R. Kallosh, A. V. Proeyen, and T. Wrase, Linear Versus Non-linear Supersymmetry, in General, vol.65, p.1604, 2016.

I. Antoniadis, A. Chatrabhuti, H. Isono, and R. Knoops, The cosmological constant in Supergravity, Eur. Phys. J. C, vol.78, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01797108

I. Antoniadis and F. Rondeau, New Kähler invariant Fayet-Iliopoulos terms in supergravity and cosmological applications. arXiv 2019

Y. Aldabergenov, A. Chatrabhuti, and S. V. Ketov, Generalized dilaton-axion models of inflation, de Sitter vacua and spontaneous SUSY breaking in supergravity, Eur. Phys. J. C, vol.713, p.79, 2019.

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