Metastable gauged O'Raifeartaigh

TL;DR

This paper explores how to achieve metastable supersymmetry breaking vacua in gauge theories without singlet fields, enabling simultaneous breaking of grand unified symmetry and supersymmetry, with explicit SU(5) examples and various model alternatives.

Contribution

It demonstrates the construction of metastable supersymmetry breaking vacua in perturbative gauge theories without singlet fields and discusses viable model modifications.

Findings

Explicit SU(5) examples of metastable vacua.

Minimal renormalizable model leads to unwanted light states.

Viable models include non-renormalizable operators, four adjoints, or additional representations.

Abstract

We study the possibility of obtaining metastable supersymmetry breaking vacua in a perturbative gauge theory without singlet fields, thus allowing for scenarios where a grand unified symmetry and supersymmetry are broken by the same sector. We show some explicit SU(5) examples. The minimal renormalizable example requires the use of two adjoints, but it is shown to inevitably lead to unwanted light states. We suggest various alternatives, and show that the viable possibilities consist of allowing for non-renormalizable operators, of employing four adjoints or of adding at least one field in a different representation.