Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity
arXiv:0904.1159 · doi:10.1088/1126-6708/2009/06/007
Abstract
A careful analysis of the Fayet-Iliopoulos (FI) model shows that its energy momentum tensor and supersymmetry current are not gauge invariant. Since the corresponding charges are gauge invariant, the model is consistent. However, our observation about the currents gives a new perspective on its restrictive renormalization group flow and explains why FI-terms never appear in dynamical supersymmetry breaking. This lack of gauge invariance is at the root of the complications of coupling the model to supergravity. We show that this is possible only if the full supergravity theory (including all higher derivative corrections) has an additional exact continuous global symmetry. A consistent quantum gravity theory cannot have such symmetries and hence FI-terms cannot appear. Our results have consequences for various models of particle physics and cosmology.
14 pages. v2: references added and minor changes
References in corpus (2)
Cited by in corpus (27)
- Generalized Global Symmetries
- Symmetries and Strings in Field Theory and Gravity
- From Linear SUSY to Constrained Superfields
- A Supersymmetric One Higgs Doublet Model
- The FL bound and its phenomenological implications
- The B-L/Electroweak Hierarchy in Heterotic String and M-Theory
- Variant supercurrent multiplets
- N=2 supergravity and supercurrents
- Variant supercurrents and Noether procedure
- Supersymmetric counterterms from new minimal supergravity
- Vacuum (Meta)Stability Beyond the MSSM
- Global Symmetries and D-Terms in Supersymmetric Field Theories
- Fluxbranes: Moduli Stabilisation and Inflation
- Inflation with Fayet-Iliopoulos Terms
- Goldstinos, Supercurrents and Metastable SUSY Breaking in N=2 Supersymmetric Gauge Theories
- On the Thermal History of Calculable Gauge Mediation
- Dynamical D-Terms in Supergravity
- Ripples in Spacetime from Broken Supersymmetry
- The Supersymmetry Breaking Soft Terms, and Fermion Masses and Mixings in the Supersymmetric Pati-Salam Model from Intersecting D6-branes
- F-theory inspired GUTs with extra charged matter
- The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
- Cosmic strings from pseudo-anomalous Fayet-Iliopoulos U(1) in D3/D7 brane inflation
- Massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms
- Neutralizing Topological Obstructions to Bubbles of Nothing
- Susy breaking soft terms in the supersymmetric Pati-Salam landscape from Intersecting D6-Branes
- Scalar Decay into Gravitinos in the Presence of D-term SUSY Breaking
- More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms