Kaluza–Klein induced supersymmetry breaking for braneworlds in type IIB supergravity Original Research Article

We consider image-symmetric braneworlds arising from 5-sphere compactifications with 5-form flux in type IIB supergravity. This Kaluza–Klein reduction produces a image theory which supports image-supersymmetric image-symmetric domain-wall solutions. However, upon lifting such solutions back to image, one finds that supersymmetry is broken by 5-sphere Kaluza–Klein effects. This happens owing to the action on the Killing spinor of the image symmetry, which requires an orientation-reversing transformation in the 5-sphere directions together with the flip of the orbifold coordinate. We study the consequences of this supersymmetry breaking for the masses of fermion fluctuation modes about the brane background and find a natural two-scale hierarchy: some bulk modes have characteristic masses of order image but other modes more closely associated to the branes have an additional factor image, where image is the image length parameter and ρ is the orbifold size.