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

2007/04/30 by Jean-Luc Lehners, Paul Smyth, K. S. Stelle +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.08.016

published as Nucl.Phys.B790:89-110,2008 · 27 pages, no figures, replaced with published version

openalex publication_date 2007/09/08 · arxiv created 2007/09/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Z2-symmetric braneworlds arising from 5-sphere compactifications with 5-form flux in type IIB supergravity. This Kaluza-Klein reduction produces a D=5 theory which supports 1/2-supersymmetric Z2-symmetric domain-wall solutions. However, upon lifting such solutions back to D=10, one finds that supersymmetry is broken by 5-sphere Kaluza-Klein effects. This happens owing to the action on the Killing spinor of the Z2 ⊂ SO(1,9) 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 1/L5 but other modes more closely associated to the branes have an additional factor exp(-ρ/L5), where L5 is the AdS5 length parameter and ρis the orbifold size.

Citations