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

TL;DR

This paper explores the structure and implications of Fayet-Iliopoulos terms in 5D orbifold supergravity with gauged $U(1)_R$ symmetry, highlighting new bulk and boundary FI terms arising from the gauging.

Contribution

It introduces a novel analysis of FI terms in 5D supergravity with a gauged $U(1)_R$ symmetry involving both even and odd gauge fields, expanding understanding of their structure and effects.

Findings

New bulk and boundary FI terms identified due to $U(1)_R$ gauging.

Analysis of physical consequences of the new FI terms.

Extension of known FI term structure in 5D 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.