Constraints on Direct Gauge Mediation Models with Complex Representations

TL;DR

This paper examines cosmological constraints on direct gauge mediation models with complex representations, highlighting issues caused by pseudo Nambu-Goldstone bosons and proposing gravitational wave observations as a probing method.

Contribution

It identifies the cosmological problems due to pseudo Nambu-Goldstone bosons in these models and suggests gravitational wave detection as a way to test most of their parameter space.

Findings

Pseudo Nambu-Goldstone bosons cause cosmological issues.

Gravitational waves from cosmic strings can probe model parameters.

Most parameter space is accessible via gravitational wave observations.

Abstract

We discuss constraints from cosmology on the models with direct gauge mediation based on the ISS supersymmetry breaking models. It is a generic feature that the ISS models possess a U(1) symmetry which is eventually spontaneously broken, when the models are based on the gauge symmetries with complex representations. We show that the resultant pseudo Nambu-Goldstone boson causes problems in cosmology, which leads to severe constraints on the models. We also show that most parameter space of the models can be probed by observing gravitational waves emitted from the cosmic string network when the U(1) symmetry is a gauge symmetry.