Fayet-Iliopoulos Terms in 5D Orbifold Supergravity

Abstract

We discuss a locally supersymmetric formulation for the boundary Fayet-Iliopoulos (FI) terms in 5-dimensional U(1) gauge theory on $S^1/Z_2$, using the four-form multiplier mechanism to introduce the necessary $Z_2$-odd FI coefficient. The physical consequence of the boundary FI terms is studied within the full supergravity framework. For both models giving a flat and a warped spacetime geometry, the only meaningful deformation of vacuum configuration induced by the FI terms is a kink-type vacuum expectation value of the vector multiplet scalar field which generate a 5D kink mass for charged hypermultiplet. This result for the four-form induced boundary FI terms is consistent with the one derived by the superfield formulation of 5D conformal supergravity.

16 pages, no figures; conclusion changed for the warped case

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• Fayet-Iliopoulos Terms in Supergravity and Cosmology
• Unification in 5D SO(10)
• Localized anomalies in orbifold gauge theories
• Neutrinos in 5D SO(10) Unification
• Supersymmetry Breaking in Warped Geometry
• Anomalies and Fayet-Iliopoulos terms on warped orbifolds and large hierarchies
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• Flavor Hierarchy from Extra Dimension and Gauge Threshold Correction
• Anomalies on orbifolds with gauge symmetry breaking
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