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

Abstract

Abstract We present a new type of Fayet-Iliopoulos (FI) terms in $$ \mathcal{N}=2 $$ 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 $$ \mathcal{N}=2 $$ 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 $$ \mathcal{N}=2 $$ N = 2 vector multiplet can be constructed that give stable de Sitter vacua.