# SUSY Splits, But Then Returns

## TL;DR

This paper explores emergent supersymmetry in gauge theories, linking it to Split Supersymmetry and Higgs compositeness, proposing a refined Partial Supersymmetry scenario that addresses the Hierarchy Problem through a synergy of supersymmetry and compositeness, with insights from higher-dimensional theories.

## Contribution

It extends the concept of Partial Supersymmetry by integrating emergent supersymmetry, Higgs compositeness, and higher-dimensional dualities to propose a novel approach to the Hierarchy Problem.

## Key findings

- Supersymmetry can emerge at low energies despite high-scale breaking.
- A partnership between supersymmetry and compositeness can solve the Hierarchy Problem.
- String theory models may realize these features with high-scale supersymmetry breaking.

## Abstract

We study the phenomenon of accidental or "emergent" supersymmetry within gauge theory and connect it to the scenarios of Split Supersymmetry and Higgs compositeness. Combining these elements leads to a significant refinement and extension of the proposal of Partial Supersymmetry, in which supersymmetry is broken at very high energies but with a remnant surviving to the weak scale. The Hierarchy Problem is then solved by a non-trivial partnership between supersymmetry and compositeness, giving a promising approach for reconciling Higgs naturalness with the wealth of precision experimental data. We discuss aspects of this scenario from the AdS/CFT dual viewpoint of higher-dimensional warped compactification. It is argued that string theory constructions with high scale supersymmetry breaking which realize warped/composite solutions to the Hierarchy Problem may well be accompanied by some or all of the features described. The central phenomenological considerations and expectations are discussed, with more detailed modelling within warped effective field theory reserved for future work.