The standard model partly supersymmetric

Abstract

We present a novel class of theories where supersymmetry is only preserved in a partial (nonisolated) sector. The supersymmetric sector consists of CFT bound states that can coexist with fundamental states which do not respect supersymmetry. These theories arise from the four-dimensional (4D) holographic interpretation of 5D theories in a slice of AdS where supersymmetry is broken on the boundary. In particular, we consider the standard model where only the Higgs sector (and possibly the top quark) is supersymmetric. The Higgs boson mass parameter is then protected by supersymmetry, and consequently the electroweak scale is naturally smaller than the composite Higgs scale. This not only provides a solution to the hierarchy problem, but predicts a ``little'' hierarchy between the electroweak and new physics scale. Remarkably, the model only contains a single supersymmetric partner, the Higgsino (and possibly the top squark), and, as in the usual MSSM, predicts a light Higgs boson.