Supersymmetry breaking in a warped slice with Majorana-type masses

TL;DR

This paper investigates supersymmetry breaking in a five-dimensional warped spacetime with Majorana masses, revealing that supersymmetry is always broken regardless of the Scherk-Schwarz twist, with significant effects on gaugino and gravitino spectra in low warping scenarios.

Contribution

It demonstrates that supersymmetry is inherently broken in this 5D warped model with Majorana masses, regardless of the Scherk-Schwarz twist, and analyzes the resulting particle spectra.

Findings

Supersymmetry is always broken in the model.

The Scherk-Schwarz twist affects gaugino and gravitino spectra.

Significant spectral effects occur in the small warping regime.

Abstract

We study the five-dimensional (5D) supergravity compactified on an orbifold S^1/Z_2, where the U(1)_R symmetry is gauged by the graviphoton with Z_2-even coupling. In contrast to the case of gauging with Z_2-odd coupling, this class of models has Majorana-type masses and allows the Scherk-Schwarz (SS) twist even in the warped spacetime. Starting from the off-shell formulation, we show that the supersymmetry is always broken in an orbifold slice of AdS_5, irrespective of the value of the SS twist parameter. We analyze the spectra of gaugino and gravitino in such background, and find the SS twist can provide sizable effects on them in the small warping region.