On the Topology of the Inflaton Field in Minimal Supergravity Models

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 SU(1,1)/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.

31 pages, LaTex, 7 eps figures, 2 tables

References in corpus (5)

• Superconformal Inflationary $\alpha$-Attractors
• Embedding (R+R^2)-Inflation into Supergravity
• Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity
• On Climbing Scalars in String Theory
• On the Gauged Kahler Isometry in Minimal Supergravity Models of Inflation

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• Cosmological Attractors and Asymptotic Freedom of the Inflaton Field
• Complexified Starobinsky Inflation in Supergravity in the Light of Recent BICEP2 Result
• The Imaginary Starobinsky Model and Higher Curvature Corrections
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• Supersymmetry Breaking and Inflation from Higher Curvature Supergravity
• Gauged R-symmetry and de Sitter vacua in supergravity and string theory
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• Gravitational waves from spectator Gauge-flation
• Non-oscillating Early Dark Energy and Quintessence from Alpha-Attractors
• A Search for an N=2 Inflaton Potential
• Naturalness and Chaotic Inflation in Supergravity from Massive Vector Multiplets
• Higher Curvature Supergravity, Supersymmetry Breaking and Inflation
• Linearized Non-Minimal Higher Curvature Supergravity
• Swampland Constraints on No-Boundary Quantum Cosmology
• The $c$-map, Tits Satake subalgebras and the search for $\mathcal{N}=2$ inflaton potentials
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• Adaptive asymptotic solutions of inflationary models in the Hamilton-Jacobi formalism: Application to T-models