Anomaly Cancellation in Supergravity with Fayet-Iliopoulos Couplings

Abstract

We review and clarify the cancellation conditions for gauge anomalies which occur when N=1, D=4 supergravity is coupled to a Kahler non-linear sigma-model with gauged isometries and Fayet-Iliopoulos couplings. For a flat sigma-model target space and vanishing Fayet-Iliopoulos couplings, consistency requires just the conventional anomaly cancellation conditions. A consistent model with non-vanishing Fayet-Iliopoulos couplings is unlikely unless the Green-Schwarz mechanism is used. In this case the U(1) gauge boson becomes massive and the D-term potential receives corrections. A Green-Schwarz mechanism can remove both the abelian and certain non-abelian anomalies in models with a gauge non-invariant Kahler potential.

arXiv comment27 pages

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• Metastable supergravity vacua with F and D supersymmetry breaking
• Rigidly Supersymmetric Gauge Theories on Curved Superspace
• D-term chaotic inflation in supergravity
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation
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• Reheating after inflation by supersymmetry breaking
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