Fayet-Iliopoulos terms in five-dimensional orbifold supergravity

TL;DR

This paper develops an off-shell formulation for boundary Fayet-Iliopoulos terms in 5D orbifold supergravity, exploring their effects on supersymmetry breaking and mass generation within a full supergravity context.

Contribution

It introduces a novel off-shell formulation for boundary FI terms in 5D orbifold supergravity and analyzes their physical consequences.

Findings

FI terms can break supersymmetry without charged hypermultiplets in AdS_5 models

The formulation enables studying FI effects in full supergravity framework

Fayet-Iliopoulos terms induce 5D kink masses for hypermultiplets

Abstract

We derive an off-shell formulation for the boundary Fayet-Iliopoulos (FI) terms in locally supersymmetric U(1) gauge theory on 5D $S^1/Z_2$ orbifold. Some physical consequences of such FI terms, e.g., the supersymmetry breaking and the generation of 5D kink mass for hypermultiplet are studied within the full supergravity framework. We especially find that the supersymmetry is broken by the FI term without charged hypermultiplet for models giving an AdS$_5$ geometry.