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Fayet-Iliopoulos terms in supergravity and D-term inflation · Around

2018

Fayet-Iliopoulos terms in supergravity and D-term inflation

Antoniadis, Ignatios, Chatrabhuti, Auttakit, Isono, Hiroshi et al.

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We analyse the consequences of a new gauge invariant Fayet-Iliopoulos (FI) term proposed recently to a class of inflation models driven by supersymmetry breaking with the inflaton being the superpartner of the goldstino.

We first show that charged matter fields can be consistently added with the new term, as well as the standard FI term in supergravity in a K\"ahler frame where the $U(1)$ is not an R-symmetry.
We then show that the slow-roll conditions can be easily satisfied with inflation driven by a D-term depending on the two FI parameters.
Inflation starts at initial conditions around the maximum of the potential where the $U(1)$ symmetry is restored and stops when the inflaton rolls down to the minimum describing the present phase of our Universe.

Built on

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D. Z. Freedman, “Supergravity with Axial Gauge Invariance,” Phys. Rev. D 15
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R. Barbieri, S. Ferrara, D. V. Nanopoulos and K. S. Stelle, “Supergravity, R Invariance and Spontaneous Supersymmetry Breaking,” Phys. Lett. 113B
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T. Kugo and S. Uehara, “ N = 1 N=1 Superconformal Tensor Calculus: Multiplets With External Lorentz Indices and Spinor Derivative Operators,” Prog. Theor. Phys. 73
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Similar

V. Kaplunovsky and J. Louis, “Field dependent gauge couplings in locally supersymmetric effective quantum field theories,” Nucl. Phys. B 422
1994
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D. Z. Freedman and A. Van Proeyen, “Supergravity,” Cambridge Univ. Press (2012)
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S. Ferrara, R. Kallosh, A. Van Proeyen and T. Wrase, “Linear Versus Non-linear Supersymmetry, in General,” JHEP 1604
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N. Cribiori, F. Farakos, M. Tournoy and A. Van Proeyen, “Fayet-Iliopoulos terms in supergravity without gauged R-symmetry,” arXiv:1712.08601 [hep-th]
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S. M. Kuzenko, “Taking a vector supermultiplet apart: Alternative Fayet-Iliopoulos-type terms,” arXiv:1801.04794 [hep-th]
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I. Antoniadis, A. Chatrabhuti, H. Isono and R. Knoops, “The cosmological constant in Supergravity,” arXiv:1805.00852 [hep-th]
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I. Wolfson and R. Brustein, “Most probable small field inflationary potentials,” arXiv:1801.07057 [astro-ph]
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Cited in the paper.

Then

I. Antoniadis, A. Chatrabhuti, H. Isono and R. Knoops, “Inflation from Supergravity with Gauged R-symmetry in de Sitter Vacuum,” Eur. Phys. J. C 76
Original
2016
Later among the works it cites.
I. Antoniadis, A. Chatrabhuti, H. Isono and R. Knoops, “Inflation from Supersymmetry Breaking’, Eur. Phys. J. C 77
Original
2017
Later among the works it cites.
Y. Aldabergenov and S. V. Ketov, “Removing instability of inflation in Polonyi-Starobinsky supergravity by adding FI term,” Mod. Phys. Lett. A 91
Original
2018
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