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Scalar Mass and Cosmological Constant induced by ``Anomalous" $U(1)$ $D$-term

Hiroaki Nakano
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Abstract

When the supersymmetric theory contains the ``anomalous" $U(1)$ gauge symmetry with Green-Schwarz anomaly cancellation mechanism in 4 dimensions, its Fayet-Iliopoulos $D$-term generates non-universal scalar masses and the positive cosmological constant after the supersymmetry breaking. Both give the new contributions to the known results 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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Hiroaki Nakano. 1994-04-06. Scalar Mass and Cosmological Constant induced by ``Anomalous" $U(1)$ $D$-term. https://arxiv.org/abs/hep-th/9404033

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