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Supersymmetry in gauge theories with extra dimensions

C. S. Lim·Tomoaki Nagasawa·Makoto Sakamoto·Hidenori Sonoda
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Abstract

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be extended to extra dimensions with boundaries, and for a single extra dimension we clarify a possible set of boundary conditions consistent with 5d gauge invariance, although some of the boundary conditions break 4d gauge symmetries.

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C. S. Lim, Tomoaki Nagasawa, Makoto Sakamoto, Hidenori Sonoda. 2005-02-02. Supersymmetry in gauge theories with extra dimensions. https://doi.org/10.1103/physrevd.72.064006

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