# A No-Go Theorem for Fully SGUTs with Metastable SUSY Breaking

## TL;DR

This paper proves a no-go theorem showing that fully SGUTs with metastable ISS SUSY breaking cannot reproduce the MSSM matter content, highlighting fundamental limitations in unifying SUSY-breaking sectors.

## Contribution

It introduces the concept of fully SGUTs and demonstrates a fundamental incompatibility with metastable ISS SUSY breaking and MSSM matter content.

## Key findings

- Metastable ISS SUSY-breaking states cannot reproduce MSSM matter content in fully SGUTs.
- Fully SGUTs unify all gauge groups at the GUT scale, extending MSSM unification.
- A no-go theorem is established for certain SUSY-breaking mechanisms in unified theories.

## Abstract

We introduce fully SGUTs, SUSY grand unified theories that, upon symmetry breaking through the Higgs mechanism, decompose into a visible sector and an extra sector where the dynamics of the extra sector gauge group is responsible for SUSY breaking. Fully SGUTs thus have the important feature that all gauge groups of the visible sector and the extra sector unify into a simple gauge group at the SGUT scale, therefore generalizing the successful MSSM gauge coupling unification to all the gauge couplings of the theory. By focusing on the ISS SUSY-breaking mechanism in the extra sector, we show that it is impossible to reproduce the MSSM matter content when there exists a metastable ISS SUSY-breaking state.