Abstract
We consider global issues in minimal supergravity models where a single field inflaton potential emerges. In a particular case we reproduce the Starobinsky model and its description dual to a certain formulation of R + R 2 supergravity. For definiteness we confine our analysis to spaces at constant curvature, either vanishing or negative. Five distinct models arise, two flat models with respectively a quadratic and a quartic potential and three based on the \( \frac{{\mathrm{SU}\left( {1,1} \right)}}{{\mathrm{U}(1)}} \) space where its distinct isometries, elliptic, hyperbolic and parabolic are gauged. Fayet-Iliopoulos terms are introduced in a geometric way and they turn out to be a crucial ingredient in order to describe the de Sitter inflationary phase of the Starobinsky model.
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ArXiv ePrint: 1311.5059
Prof. Fré is presently fulfilling the duties of Scientific Counselor of the Italian Embassy in the Russian Federation, Denezhnij pereulok, 5, 121002 Moscow, Russia.
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Ferrara, S., Fré, P. & Sorin, A.S. On the topology of the inflaton field in minimal supergravity models. J. High Energ. Phys. 2014, 95 (2014). https://doi.org/10.1007/JHEP04(2014)095
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DOI: https://doi.org/10.1007/JHEP04(2014)095