Partially Composite Supersymmetry

Abstract

This dissertation presents the model of partially composite supersymmetry, constructed in a slice of five-dimensional anti-de Sitter spacetime. The Higgs fields are localized on the ultraviolet brane, while supersymmetry is broken on the infrared brane. The remainder of the field content of the minimal supersymmetric standard model is embedded into the five-dimensional bulk. The localizations of the bulk fields that are responsible for generating the fermion mass hierarchy simultaneously cause the first- and second-generation sfermions to be split from the lighter gauginos and third-generation sfermions. The sfermion mass scale is constrained by the observed 125 GeV Higgs boson, leading to stop masses and gauginos around 10 to 100 TeV and the first two generation sfermion masses around 100 to 1000 TeV. This gives rise to a splitlike supersymmetric model that explains the fermion mass hierarchy while simultaneously predicting an inverted sfermion mass spectrum consistent with direct-detection and flavor constraints. The lightest supersymmetric particle is a gravitino, in the keV to TeV range, which can play the role of dark matter. According to the AdS/CFT correspondence, this model has a dual description as a four-dimensional strongly coupled theory of supersymmetric partial compositeness.