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Non-abelian gauge field localization on walls and geometric Higgs mechanism. (English) Zbl 1477.81065

Summary: Combining the semiclassical localization mechanism for gauge fields with \(N\) domain wall background in a simple \(\mathrm{SU}(N)\) gauge theory in 5 space-time dimensions, we investigate the geometric Higgs mechanism, where a spontaneous breakdown of the gauge symmetry comes from splitting of domain walls. The mass spectra are investigated in detail for the phenomenologically interesting case \(\mathrm{SU}(5) \rightarrow \mathrm{SU}(3)\times \mathrm{SU}(2)\times \mathrm{U}(1)\), which is realized on a split configuration of coincident triplet and doublet of domain walls. We derive a low-energy effective theory in a generic background using the moduli approximation, where all nonlinear interactions between effective fields are captured up to 2 derivatives. We observe novel similarities between domain walls in our model and D-branes in superstring theories.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory