A Warped Supersymmetric Standard Model

TL;DR

This work analyzes supersymmetry breaking in a slice of AdS5, introducing a geometrical mechanism based on twisted boundary conditions that act locally on the TeV-brane. The warp factor suppresses the breaking, yielding a gravitino mass around $m_{3/2}\sim 10^{-3}$ eV and allowing scalar soft masses to arise at one loop through bulk gauge interactions in a warped MSSM with Planck-brane matter; the spectrum is computed using full 5d AdS propagators. The model predicts a flavor-safe, calculable sparticle spectrum with TeV-scale gauginos and radiatively generated scalar masses, while the Higgs sector can reintroduce UV sensitivity if bulk fields are included. Via the AdS/CFT correspondence, the setup maps to a 4d MSSM coupled to a strongly interacting CFT sector that breaks SUSY at the TeV scale, offering a dual perspective on the origin of mass splittings and a framework for exploring strongly coupled dynamics in SUSY-breaking phenomenology.

Abstract

We study the breaking of supersymmetry in five-dimensional (5d) warped spaces, using the Randall-Sundrum model as a prototype. In particular, we present a supersymmetry-breaking mechanism which has a geometrical origin, and consists of imposing different boundary conditions between the fermions and bosons living in the 5d bulk. The scale of supersymmetry breaking is exponentially small due to the warp factor of the AdS metric. We apply this mechanism to a supersymmetric standard model where supersymmetry breaking is transmitted through the AdS bulk to matter fields confined on the Planck-brane. This leads to a predictable superparticle mass spectrum where the gravitino mass is $10^{-3}$eV and scalar particles receive masses at the one-loop level via bulk gauge interactions. We calculate the mass spectrum in full detail using the 5d AdS propagators. The AdS/CFT correspondence suggests that our 5d warped model is dual to the ordinary 4d MSSM with a strongly coupled CFT sector responsible for the breaking of supersymmetry.