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, supported by 4D and 5D models.

Contribution

It demonstrates a mechanism where conformal dynamics induces metastable supersymmetry breaking vacua with approximate R-symmetry, including explicit 4D and 5D model constructions.

Findings

Conformal dynamics suppresses operators along RG flow.

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

The mechanism applies to both 4D and 5D models via AdS/CFT correspondence.

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.