Supersymmetry in gauge theories with extra dimensions

Abstract

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be extended to extra dimensions with boundaries, and for a single extra dimension we clarify a possible set of boundary conditions consistent with 5d gauge invariance, although some of the boundary conditions break 4d gauge symmetries.

18 pages

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• Dynamical Gauge-Higgs Unification in the Electroweak Theory
• Higgsless fermion masses and unitarity
• 6D Higgsless Standard Model
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Cited by in corpus (21)

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• More on the Finiteness of Anomalous Magnetic Moment in the Gauge-Higgs Unification
• $CP$ phase from twisted Higgs vacuum expectation value in extra dimension
• Anomalous Higgs Interactions in Gauge-Higgs Unification
• Dynamical generation of fermion mass hierarchy in an extra dimension
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Supersymmetry in 6d Dirac Action
• Hierarchy of QM SUSYs on a Bounded Domain
• Symmetries, Spin-2 Scattering Amplitudes, and Equivalence theorems in Warped Five-Dimensional Gravitational Theories
• Emergent Supersymmetry in Warped Backgrounds
• Active Dirac Neutrinos via $SU(2{)}_L$ Doublets in 5d
• Extended supersymmetry with central charges in Dirac action with curved extra dimensions
• Family number, Wilson line phases and hidden supersymmetry
• Extended supersymmetry with central charges in higher dimensional Dirac action
• De Sitter Cosmic Strings and Supersymmetry
• SUSY QM Meets 5d Gravity
• Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms
• Extended supersymmetry in Dirac action with extra dimensions