Supersymmetry Breaking and Restoration in the Interval

TL;DR

This paper investigates how boundary conditions and mass terms in a five-dimensional supersymmetric model affect the mass spectrum of fermions like gravitinos and gauginos, revealing conditions under which supersymmetry breaking can be controlled or restored.

Contribution

It demonstrates that the fermion mass spectrum becomes independent of the Scherk-Schwarz parameter when boundary mass terms are aligned with bulk supersymmetry breaking.

Findings

Mass spectrum independence from Scherk-Schwarz parameter under specific boundary conditions

Boundary mass terms aligned with bulk supersymmetry restore supersymmetry effects

Analysis applies to fermions in five-dimensional supersymmetric theories

Abstract

We study fermions, such as gravitinos and gauginos in supersymmetric theories, propagating in a five-dimensional bulk where the fifth dimension is an interval. We show the mass spectrum becomes independent from the Scherk-Schwarz parameter if the boundary mass terms obey a relation of alignment with the bulk supersymmetry breaking.