Non-Abelian Gauge Field Localized on Walls with Four-Dimensional World Volume

Abstract

A mechanism using the position-dependent gauge coupling is proposed to localize non-Abelian gauge fields on domain walls in five-dimensional space-time. Low-energy effective theory posseses a massless vector field, and a mass gap. The four-dimensional gauge invariance is maintained intact. We obtain perturbatively the four-dimensional Coulomb law for static sources on the domain wall. BPS domain wall solutions with the localization mechanism are explicitly constructed in the U(1)xU(1) supersymmetric gauge theory coupling to the non-Abelian gauge fields only through the cubic prepotential, which is consistent with the general principle of supersymmetry in five-dimensional space-time.

arXiv comment22 pages, 5 figures, 5 references added for section 1

References in corpus (3)

• On models of gauge field localization on a brane
• Moduli Space of BPS Walls in Supersymmetric Gauge Theories
• Localized Gauge Multiplet on a Wall

Cited by in corpus (20)

• Grand Unified Brane World Scenario
• Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory
• Matter Fields and Non-Abelian Gauge Fields Localized on Walls
• BPS Cho-Maison monopole
• Localization of the Standard Model via Higgs mechanism and a finite electroweak monopole from non-compact five dimensions
• Non-Abelian Gauge Field Localization on Walls and Geometric Higgs Mechanism
• Localized non-Abelian gauge fields in non-compact extra-dimensions
• Large Star/Rose Extra Dimension with Small Leaves/Petals
• Massless bosons on domain walls: Jackiw-Rebbi-like mechanism for bosonic fields
• Confining solitons in the Higgs phase of $\mathbb{C}{P}^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit
• Domain-Wall Standard Model in non-compact 5D and LHC phenomenology
• Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions
• Fermion Mass Hierarchy and Phenomenology in the 5D Domain Wall Standard Model
• Localization of $U(1)$ gauge field by non-minimal coupling with gravity
• Stabilizing matter and gauge fields localized on walls
• Localization of matter fields and non-Abelian gauge fields on domain walls
• On the origin of matter-antimatter asymmetry in the Universe
• BPS Boojums in N=2 supersymmetric gauge theories II
• Nambu-Goldstone boson phenomenology in Domain-Wall Standard Model
• Localization of Vector Field on Dynamical Domain Wall