Gauged $U(1{)}_R$ Symmetries and Fayet-Iliopoulos Terms in 5D Orbifold Supergravity

We discuss a gauged $U(1{)}_R$ supergravity on five-dimensional (5D) orbifold ($S^1\mathrm{/}{Z}_2$) in which both a $Z_2$-even U(1) gauge field and the $Z_2$-odd graviphoton take part in the $U(1{)}_R$ gauging. Based on the off-shell formulation of 5D supergravity, we analyze the structure of Fayet-Iliopoulos (FI) terms allowed in such model. Introducing a $Z_2$-even $U(1{)}_R$ gauge field accompanies new bulk and boundary FI terms in addition to the known integrable boundary FI term which could be present in the absence of any gauged $U(1{)}_R$ symmetry. Some physical consequences of these new FI terms are examined.