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Extended supersymmetry with central charges in Dirac action with curved extra dimensions
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abstract
We discuss a new realization of $\mathcal{N}$-extended quantum-mechanical supersymmetry (QM SUSY) with central charges hidden in the four-dimensional (4D) mass spectrum of higher dimensional Dirac action with curved extra dimensions. We show that this $\mathcal{N}$-extended QM SUSY results from symmetries in extra dimensions, and the supermultiplets in this supersymmetry algebra correspond to the Bogomol'nyi--Prasad--Sommerfield states. Furthermore, we examine the model of the $S^2$ extra dimension with a magnetic monopole background and confirm that the $\mathcal{N}$-extended QM SUSY explains the degeneracy of the 4D mass spectrum.
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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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