Bulk fields and supersymmetry in a slice of AdS

Bulk fields and supersymmetry in a slice of AdS

March 2000 | Tony Gherghetta and Alex Pomarol
This paper explores the implications of placing the Standard Model (SM) fields in a slice of Anti-de Sitter (AdS) space in five dimensions, which can help address the hierarchy problem. The electroweak scale is generated by a "warp" factor of the induced metric on the brane where the SM fields live. The paper analyzes the behavior of fermions, gauge bosons, and scalars in this geometry and their implications on electroweak physics. It also considers the case of supersymmetry in the bulk and analyzes the conditions on the mass spectrum. A model is proposed where the warp factor generates a small (TeV) supersymmetry-breaking scale, with the gauge interactions mediating the breaking to the scalar sector. The paper discusses the phenomenological consequences of having the SM fields in the 5D bulk. It shows that SM fermions and gauge bosons can propagate in the AdS bulk without conflicting with experimental data. However, the Higgs field must arise from a Kaluza-Klein excitation localized by the AdS metric on the TeV-brane. The paper also studies the magnitude of higher-dimensional operators, which can be suppressed by allowing the fermions to be off the TeV-brane. This leads to partial success in suppressing flavor violation but not proton decay. The inclusion of supersymmetry allows for new alternatives. The Higgs field can now be delocalized from the TeV-brane, along with the fermions. This delocalization is possible thanks to supersymmetry that protects the Higgs massless mode far from the TeV-brane. If fermions are also distant from the TeV-brane, proton decay can be sufficiently suppressed, while at the same time allowing for the fermion masses to be generated. The paper also discusses the implications of supersymmetry breaking on the TeV-brane. It shows that supersymmetry can be broken on the TeV-brane, generating small supersymmetry-breaking soft masses. This presents a new alternative to models with gaugino condensation where the small scale of supersymmetry breaking is generated by dimensional transmutation. The paper concludes that the inclusion of supersymmetry allows for new scenarios where the Higgs field is delocalized from the TeV-brane, and the SM gauge bosons can be considered as five-dimensional bulk fields, enabling the testing of GUT or quantum gravity theories at the TeV scale.This paper explores the implications of placing the Standard Model (SM) fields in a slice of Anti-de Sitter (AdS) space in five dimensions, which can help address the hierarchy problem. The electroweak scale is generated by a "warp" factor of the induced metric on the brane where the SM fields live. The paper analyzes the behavior of fermions, gauge bosons, and scalars in this geometry and their implications on electroweak physics. It also considers the case of supersymmetry in the bulk and analyzes the conditions on the mass spectrum. A model is proposed where the warp factor generates a small (TeV) supersymmetry-breaking scale, with the gauge interactions mediating the breaking to the scalar sector. The paper discusses the phenomenological consequences of having the SM fields in the 5D bulk. It shows that SM fermions and gauge bosons can propagate in the AdS bulk without conflicting with experimental data. However, the Higgs field must arise from a Kaluza-Klein excitation localized by the AdS metric on the TeV-brane. The paper also studies the magnitude of higher-dimensional operators, which can be suppressed by allowing the fermions to be off the TeV-brane. This leads to partial success in suppressing flavor violation but not proton decay. The inclusion of supersymmetry allows for new alternatives. The Higgs field can now be delocalized from the TeV-brane, along with the fermions. This delocalization is possible thanks to supersymmetry that protects the Higgs massless mode far from the TeV-brane. If fermions are also distant from the TeV-brane, proton decay can be sufficiently suppressed, while at the same time allowing for the fermion masses to be generated. The paper also discusses the implications of supersymmetry breaking on the TeV-brane. It shows that supersymmetry can be broken on the TeV-brane, generating small supersymmetry-breaking soft masses. This presents a new alternative to models with gaugino condensation where the small scale of supersymmetry breaking is generated by dimensional transmutation. The paper concludes that the inclusion of supersymmetry allows for new scenarios where the Higgs field is delocalized from the TeV-brane, and the SM gauge bosons can be considered as five-dimensional bulk fields, enabling the testing of GUT or quantum gravity theories at the TeV scale.
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