Supersymmetry Breaking and Moduli Stabilization with Anomalous U(1) Gauge Symmetry

Abstract

We examine the effects of anomalous U(1)_A gauge symmetry on soft supersymmetry breaking terms while incorporating the stabilization of the modulus-axion multiplet responsible for the Green-Schwarz (GS) anomaly cancellation mechanism. In case of the KKLT stabilization of the GS modulus, soft terms are determined by the GS modulus mediation, the anomaly mediation and the U(1)_A mediation which are generically comparable to each other, thereby yielding the mirage mediation pattern of superparticle masses at low energy scale. Independently of the mechanism of moduli stabilization and supersymmetry breaking, the U(1)_A D-term potential can not be an uplifting potential for de Sitter vacuum when the gravitino mass is smaller than the Planck scale by many orders of magnitude. We also discuss some features of the supersymmetry breaking by red-shifted anti-brane which is a key element of the KKLT moduli stabilization.

32 pages; references are added

References in corpus (3)

• Supersymmetry, Naturalness, and Signatures at the LHC
• De Sitter Vacua from Matter Superpotentials
• deSitter vacua from uplifting D-terms in effective supergravities from realistic strings

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• Sparticle Spectrum of Large Volume Compactification
• F-term uplifting via consistent D-terms
• Axionic Mirage Mediation
• Globally and locally supersymmetric effective theories for light fields
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• Soft supersymmetry breaking terms from A4 lepton flavor symmetry
• Sparticle masses in deflected mirage mediation
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• Flux Stabilization in 6 Dimensions: D-terms and Loop Corrections
• Flavor structure with multi moduli in 5D supergravity
• TeV scale partial mirage unification and neutralino dark matter
• Mixed modulus and anomaly mediation in light of the muon $g-2$ anomaly
• Sequestered Dark Matter
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• Soft masses in superstring models with anomalous U(1) symmetries
• Inflation in uplifted Supergravities
• Moduli stabilization with F-term uplifting in heterotic string theory
• Constraints from F and D supersymmetry breaking in general supergravity theories
• Peccei-Quinn invariant singlet extended SUSY with anomalous U(1) gauge symmetry
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