Non-topological Domain Walls in a Model with Broken Supersymmetry

TL;DR

This paper investigates non-topological charged planar walls (Q-walls) in a supersymmetry-breaking particle physics model, analyzing their properties, stability, and comparing them to Q-balls through analytical and numerical methods.

Contribution

It provides the first detailed analysis of Q-wall solutions in a supersymmetric model with broken supersymmetry, including phase diagrams and stability comparisons.

Findings

Q-wall solutions can be more stable than Q-balls in certain parameter regions.

Analytical and numerical methods agree on the properties of Q-walls.

A phase diagram delineates stability regions for Q-walls versus Q-balls.

Abstract

We study non-topological, charged planar walls (Q-walls) in the context of a particle physics model with supersymmetry broken by low-energy gauge mediation. Analytical properties are derived within the flat-potential approximation for the flat-direction raising potential, while a numerical study is performed using the full two-loop supersymmetric potential. We analyze the energetics of finite-size Q-walls and compare them to Q-balls, non-topological solitons possessing spherical symmetry and arising in the same supersymmetric model. This allow us to draw a phase diagram in the charge-transverse length plane, which shows a region where Q-wall solutions are more stable than Q-balls.