Metastable supersymmetry breaking vacua from conformal dynamics

TL;DR

This paper explores how conformal dynamics can generate metastable supersymmetry breaking vacua by suppressing certain operators, leading to an approximate R-symmetry and a metastable vacuum far from the supersymmetric one, with models in 4D and 5D.

Contribution

It demonstrates a mechanism where conformal dynamics induces metastable supersymmetry breaking vacua via operator suppression and R-symmetry emergence, including explicit 4D and 5D models.

Findings

Conformal dynamics suppresses operators along RG flow.

An approximately R-symmetric superpotential with metastable vacua is achievable.

Constructed models in 4D and 5D exhibit the proposed behavior.

Abstract

We study the scenario that conformal dynamics leads to metastable supersymmetry breaking vacua. At a high energy scale, the superpotential is not R-symmetric, and has a supersymmetric minimum. However, conformal dynamics suppresses several operators along renormalization group flow toward the infrared fixed point. Then we can find an approximately R-symmetric superpotential, which has a metastable supersymmetry breaking vacuum, and the supersymmetric vacuum moves far away from the metastable supersymmetry breaking vacuum. We show a 4D simple model. Furthermore, we can construct 5D models with the same behavior, because of the AdS/CFT dual.