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

Abstract

We discuss a gauged $U(1{)}_R$ supergravity on five-dimensional (5D) orbifold ($S^1/Z_2$) 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.

1+17 pages, 9 figures, typeset in JHEP style

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• Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization
• On the one-loop Kahler potential in five-dimensional brane-world supergravity
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• Supersymmetry without the Desert
• Revisiting instabilities of $S^1/Z_2$ models with loop-induced Fayet-Iliopoulos terms