Inflation with Fayet-Iliopoulos Terms

Abstract

Two of the most attractive realizations of inflation in supergravity are based upon the presence of a constant Fayet-Iliopoulos (FI) term. In D-term hybrid inflation it is the FI term itself which sets the energy scale of inflation. Alternatively, the breaking of a U(1) symmetry induced by the FI term can dynamically generate the quadratic potential of chaotic inflation. The purpose of this note is to study the possible UV embedding of these schemes in terms of the `field-dependent FI term' related to a string modulus field which is stabilized by a non-perturbative superpotential. We find that in settings where the FI term drives inflation, gauge invariance prevents a decoupling of the modulus from the inflationary dynamics. The resulting inflation models generically contain additional dynamical degrees of freedom compared to D-term hybrid inflation. However, the dynamical realization of chaotic inflation can be obtained in complete analogy to the case of a constant FI term. We present a simple string-inspired toy model of this type.

20 pages, accepted for publication in PRD

References in corpus (12)

• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Toward an Understanding of Foreground Emission in the BICEP2 Region
• Neutrino Majorana Masses from String Theory Instanton Effects
• New models of chaotic inflation in supergravity
• deSitter vacua from uplifting D-terms in effective supergravities from realistic strings
• Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity
• Supersymmetric Moduli Stabilization and High-Scale Inflation
• Quantization of Fayet-Iliopoulos Parameters in Supergravity
• Approximate R-symmetries and the mu term
• Fluxbranes: Moduli Stabilisation and Inflation
• The Chaotic Regime of D-Term Inflation
• Natural Inflation with Natural Trans-Planckian Axion Decay Constant from Anomalous $U(1{)}_X$

Cited by in corpus (7)

• Challenges for Large-Field Inflation and Moduli Stabilization
• Inflation from Supersymmetry Breaking
• Natural Inflation and Low Energy Supersymmetry
• The Chaotic Regime of D-Term Inflation
• Grand Unification and Subcritical Hybrid Inflation
• Dynamical D-Terms in Supergravity
• Challenges for D-brane large-field inflation with stabilizer fields