Scalar Mass Universality, “Anomalous”U(1) andRSymmetries

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Abstract
When the supersymmetric theory contains the “anomalous” U(1) gauge symmetry with Green-Schwarz anomaly cancellation mechanism in four dimensions, Fayet-Iliopoulos D-term generates generically non-universal scalar masses and the positive cosmological constant after the supersymmetry breaking. Both give the new contributions to the known results obtained from F-term. Our mechanism is naturally realized in many string models and in some cases, leads to remarkable cancellations between F- and D-term contributions, providing the universal scalar mass and vanishing cosmological constant. We illustrate how such a possibility can arise by taking a simple orbifold example.

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