(BPS) Fayet-Iliopoulos Terms in 5D Orbifold SUGRA

TL;DR

This paper explores Fayet-Iliopoulos terms in 5D orbifold supergravity, demonstrating BPS solutions that preserve N=1 supersymmetry in warped geometries and analyzing their effects on hypermultiplet localization.

Contribution

It provides a superfield formulation of off-shell 5D SUGRA with FI terms, showing BPS solutions that maintain supersymmetry and detailing their impact on hypermultiplet mass and localization.

Findings

BPS solutions preserve N=1 supersymmetry in warped geometries with FI terms.

FI terms induce odd masses for charged hypermultiplets, affecting wave-function localization.

Supersymmetric warped solutions exist with non-trivial charged hyperscalar profiles in ungauged U(1)_R symmetry.

Abstract

We discuss Fayet-Iliopoulos terms in the context of five-dimensional supergravity compactified on an orbifold. For this purpose we use our superfield formulation of the off-shell 5D SUGRA. In the case of tuned FI terms, contrary to other claims, we find BPS solutions which ensure that N=1 supersymmetry is unbroken also in warped geometries. As in the rigid case, the FI terms induce odd masses for charged hypermultiplets, leading to the (de)localisation of the KK wave-functions near the fix-point branes. In the case of ungauged U(1)_R symmetry, we present also supersymmetric warped solutions in the presence of non-trivial profiles of charged hyperscalars.