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arXiv · 1905.11673

Extended supersymmetry with central charges in Dirac action with curved extra dimensions

Inori Ueba
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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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Inori Ueba. 2019-05-28. Extended supersymmetry with central charges in Dirac action with curved extra dimensions. https://doi.org/10.1103/physrevd.100.105001

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