Dynamical Supersymmetry Breaking with Gauged U(1)_R Symmetry

TL;DR

This paper introduces a minimal supergravity model with gauged U(1)_R symmetry that achieves dynamical supersymmetry breaking through the interplay of gauge dynamics and supergravity effects, resulting in a phenomenologically viable scenario.

Contribution

It presents a new simple model of dynamical supersymmetry breaking using gauged U(1)_R symmetry within minimal supergravity, with controlled breaking scale and vanishing cosmological constant.

Findings

Supersymmetry is broken due to conflicting conditions from D-term and superpotential.

The supersymmetry breaking scale is set by the SU(2) gauge dynamics.

The model can produce a gravitino mass around 1-10 TeV.

Abstract

We propose a simple model of dynamical supersymmetry breaking in the context of minimal supergravity with gauged $U(1)_R$ symmetry. The model is based on the gauge group $SU(2) \times U(1)_R$ with three matters. Since the $U(1)_R$ symmetry is gauged, the Fayet-Iliopoulos D-term appears due to the symmetry of supergravity. On the other hand, the superpotential generated dynamically by the SU(2) gauge dynamics leads to run away potential. Since the supersymmetric vacuum condition required by the D-term potential contradicts the one required by the superpotential, supersymmetry is broken. The supersymmetry breaking scale is controlled by the dynamical scale of the SU(2) gauge interaction. We can choose the parameters in our model for vanishing cosmological constant. Our model is phenomenologically viable with the gravitino mass of order 1 TeV or 10 TeV.