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.