Fayet-Iliopoulos terms in five-dimensional orbifold supergravity

We derive an off-shell formulation for the boundary Fayet-Iliopoulos (FI) terms in locally supersymmetric U(1) gauge theory on 5D $S^1\mathrm{/}{Z}_2$ 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.