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

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

2010-04-23

arxiv.org/abs/1004.4078v2

Prog.Theor.Phys.124:71-93,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 5 figures, 5 references added for section 1

Scientific paper

10.1143/PTP.124.71

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.

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