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Anomaly Cancellation in Supergravity with Fayet-Iliopoulos Couplings

Henriette Elvang·Daniel Z. Freedman·Boris Kors
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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.

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Henriette Elvang, Daniel Z. Freedman, Boris Kors. 2006-06-01. Anomaly Cancellation in Supergravity with Fayet-Iliopoulos Couplings. https://doi.org/10.1088/1126-6708%2F2006%2F11%2F068

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