5D Super Yang-Mills Theory in 4D Superspace, Superfield Brane Operators, and Applications to Orbifold GUTs

Abstract

A manifestly gauge invariant formulation of 5-dimensional supersymmetric Yang-Mills theories in terms of 4d superfields is derived. It relies on a supersymmetry and gauge-covariant derivative operator in the $x^5$ direction. This formulation allows for a systematic study of higher-derivative operators by combining invariant 4d superfield expressions under the additional restriction of 5d Lorentz symmetry. In cases where the 5d theory is compactified on a gauge-symmetry-breaking orbifold, the formalism can be used for a simple discussion of possible brane operators invariant under the restricted symmetry of the fixed points. This is particularly relevant to recently constructed grand unified theories in higher dimensions (orbifold GUTs). Several applications, including proton decay operators and brane-localized mass terms, are discussed.

14 pages LaTeX, minor corrections, final version to appear in Nuclear Physics B

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Cited by in corpus (84)

• Intersecting D3-branes and Holography
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• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
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• Superfield Approach to 5D Conformal SUGRA and the Radion
• Maximally Natural Supersymmetry
• The Higgs mass from a String-Theoretic Perspective
• Fayet-Iliopoulos terms in 5d theories and their phenomenological implications
• Group-Theoretical Aspects of Orbifold and Conifold GUTs
• Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
• Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
• 4D Superfield Reduction of 5D Orbifold SUGRA and Heterotic M-theory
• Fermion Generations, Masses and Mixing Angles from Extra Dimensions
• The Gravitino in Gaugino Mediation
• General Gauge Mediation and Deconstruction
• Supersymmetry Breaking in Warped Geometry
• The Supersymmetric Fine-Tuning Problem and TeV-Scale Exotic Scalars
• Radius Stabilization by Two-Loop Casimir Energy
• (De)constructing Intersecting M5-branes
• General Gauge Mediation in 5D
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• Renormalization of Supersymmetric Gauge Theories on Orbifolds: Brane Gauge Couplings and Higher Derivative Operators
• Power-Like Threshold Corrections to Gauge Unification in Extra Dimensions
• Flavour structure and proton decay in 6D orbifold GUTs
• Vector/tensor duality in the five dimensional supersymmetric Green-Schwarz mechanism
• Warped General Gauge Mediation
• Gauge Unification in Extra Dimensions: Power Corrections vs. Higher-Dimension Operators
• Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds
• Boundary conditions in the Mirabelli and Peskin model
• Inducing the mu and the B mu Term by the Radion and the 5d Chern-Simons Term
• Anomalies and Fayet-Iliopoulos terms on warped orbifolds and large hierarchies
• An Exceptional SSM from E6 Orbifold GUTs with intermediate LR symmetry
• The MSSM from Scherk-Schwarz Supersymmetry Breaking
• Discriminating 4D supersymmetry from its 5D warped version
• Supersymmetric Boundaries and Junctions in Four Dimensions
• Renormalisation running of masses and mixings in UED models
• Natural Scherk-Schwarz Theories of the Weak Scale
• Phenomenology of Supersymmetric Gauge-Higgs Unification
• Neutrino Democracy And Other Phenomenology From 5D SO(10)
• Gauge-Fermion Unification and Flavour Symmetry
• (BPS) Fayet-Iliopoulos Terms in 5D Orbifold SUGRA
• Hybrid Gauge Mediation
• Scherk-Schwarz Supersymmetry Breaking for Quasi-localized Matter Fields and Supersymmetry Flavor Violation
• Consistent dimensional reduction of five-dimensional off-shell supergravity
• Loop-Effects in Pseudo-Supersymmetry
• Neutrino Democracy, Fermion Mass Hierarchies And Proton Decay From 5D SU(5)
• Superfield description of gravitational couplings in generic 5D supergravity
• Quantum corrections to the effective neutrino mass operator in 5D MSSM
• Auto-Concealment of Supersymmetry in Extra Dimensions
• Scaling of the CKM Matrix in the 5D MSSM
• Hidden-sector current-current correlators in holographic gauge mediation
• Gauge and Yukawa couplings in 6D supersymmetric SU(6) models
• N=1 superfield description of vector-tensor couplings in six dimensions
• Radius stabilization by constant boundary superpotentials in warped space
• Holography for General Gauge Mediation
• Radiative stabilization of warped space
• Large $A_t$ Without the Desert
• Gauge Origin of Baryon Number Conservation and Suppressed Neutrino Masses From Five Dimensions
• Supersymmetric bulk-brane coupling with odd gauge fields
• Deconstructing 5D supersymmetric U(1) gauge theories on orbifolds
• General Resonance Mediation
• Supersymmetric Models For Gauge Inflation
• On SUSY GUTs with a degenerate Higgs mass matrix
• 5D Maximally Supersymmetric Yang-Mills in 4D Superspace: Applications
• A New Mechanism for Radius Stabilization in Warped Supersymmetry
• Heavy hadron spectra from spin chains and strings
• Quantum Dynamics of a Bulk-Boundary System
• A Bulk Effect to SUSY Effective Potential in a 5D Super-Yang-Mills Model
• Brane-Anti-Brane Solution and SUSY Effective Potential in Five Dimensional Mirabelli-Peskin Model
• The Radion in 5D Conformal SUGRA: Superspace Action
• Family of Singular Solutions in A SUSY Bulk-Boundary System
• Fat brane and seesaw mechanism in extra dimensions
• Mildly sequestered supergravity models and their realization in string theory
• The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
• Full diffeomorphism and Lorentz invariance in 4D $\mathcal{N}=1$ superfield description of 6D SUGRA
• Orbifold Modular GUT of Flavour
• Features of electroweak symmetry breaking in five dimensional SUSY models
• Higher Derivative Operators as Counterterms in Orbifold Compactifications
• Scherk-Schwarz orbifolds at the LHC
• Total-derivative supersymmetry breaking
• Asymptotic Ultraviolet-safe Unification of Gauge and Yukawa Couplings: The exceptional case
• $\mathcal{N}=1$ superfield description of BPS solutions in 6D gauged SUGRA with 3-branes
• Natural Supersymmetry and Unification in Five Dimensions