Localized Gauge Multiplet on a Wall

Details Localized Gauge Multiplet on a Wall Localized Gauge Multiplet on a Wall

2003-05-26

arxiv.org/abs/hep-th/0305222v2

Prog.Theor.Phys. 111 (2004) 907-921

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures, final version to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.111.907

The localization of vector multiplets is examined using the {\cal N}=1 supersymmetric U(1) gauge theory with the Fayet-Iliopoulos term coupled to charged chiral multiplets in four dimensions. The vector field becomes localized on a BPS wall connecting two different vacua that break the gauge symmetry. The vacuum expectation values of charged fields vanish (approximately) around the center of the wall, causing the Higgs mechanism to be ineffective. The mass of the localized vector multiplet is found to be the inverse width of the wall. The model gives an explicit example of this general phenomenon. A five-dimensional version of the model can also be constructed if we abandon supersymmetry.

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