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Model Building by Coset Space Dimensional Reduction Scheme Using Twelve-Dimensional Coset Spaces
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We investigate the twelve-dimensional gauge-Higgs unification models with an eight-dimensional coset space. For each model, we apply the coset space dimensional reduction procedure and examine the particle contents of the resulting four-dimensional theory. Then, some twelve-dimensional SO(18) gauge theories lead to models of the SO(10)\times U(1) grand unified theory in four dimensions, where fermions of the Standard Model appear in multiple generations along with scalars that may break the electroweak symmetry. The representations of the obtained scalars and fermions are summarized.
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Gauge symmetry breaking with $S^2$ extra dimensions
On S2, a cos θ background gauge field breaks the gauge group to its centralizer; the KK mass spectrum is (j(j+1) - kα^2)/R^2 for charged modes.
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