New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity

Abstract

We present a new type of Fayet-Iliopoulos (FI) terms in $\mathcal{N}=2$ supergravity that do not require the gauging of the $R$-symmetry. We elaborate on the impact of such terms on the vacuum structure of the $\mathcal{N}=2$ theory and compare their properties with the standard Fayet-Iliopoulos terms that arise from gaugings. In particular, we show that, with the use of the new FI terms, models with a single physical $\mathcal{N}=2$ vector multiplet can be constructed that give stable de Sitter vacua.

arXiv comment50 pages

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• Minimal Starobinsky supergravity coupled to dilaton-axion superfield
• Note on supersymmetric Dirac-Born-Infeld action with Fayet-Iliopoulos term
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity