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Fermions and Supersymmetry Breaking in the Interval

G. v. Gersdorff·L. Pilo·M. Quiros·A. Riotto·V. Sanz
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Abstract

We study fermions, such as gravitinos and gauginos in supersymmetric theories, propagating in a five-dimensional bulk where the fifth dimensional component is assumed to be an interval. We show that the most general boundary condition at each endpoint of the interval is encoded in a single complex parameter representing a point in the Riemann sphere. Upon introducing a boundary mass term, the variational principle uniquely determines the boundary conditions and the bulk equations of motion. We show the mass spectrum becomes independent from the Scherk-Schwarz parameter for a suitable choice of one of the two boundary conditions. Furthermore, for any value of the Scherk-Schwarz parameter, a zero-mode is present in the mass spectrum and supersymmetry is recovered if the two complex parameters are tuned.

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G. v. Gersdorff, L. Pilo, M. Quiros, A. Riotto, V. Sanz. 2004-10-20. Fermions and Supersymmetry Breaking in the Interval. https://doi.org/10.1016/j.physletb.2004.08.012

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