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arxiv: 1706.09422 · v3 · pith:HK3WDRY4new · submitted 2017-06-28 · ✦ hep-th

Three-forms in Supergravity and Flux Compactifications

classification ✦ hep-th
keywords dualitythree-formscompactificationsfield-strengthsfour-dimensionalgaugeappearingapply
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We present a duality procedure that relates conventional four-dimensional matter-coupled N=1 supergravities to dual formulations in which auxiliary fields are replaced by field-strengths of gauge three-forms. The duality promotes specific coupling constants appearing in the superpotential to vacuum expectation values of the field-strengths. We then apply this general duality to type IIA string compactifications on Calabi-Yau orientifolds with RR fluxes. This gives a new supersymmetric formulation of the corresponding effective four-dimensional theories which includes gauge three-forms.

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    At large complex structure in F-theory, the F-term potential simplifies to V = Z^{AB} ρ_A ρ_B, yielding two families of flux vacua with all complex structure moduli fixed, one with bounded saxion vevs and one with unb...