On domain shapes and processes in supersymmetric theories

TL;DR

This paper investigates the classical configurations and stability of domain walls in supersymmetric theories with multiple scalar superfields, highlighting phenomena like decay and intersection formation.

Contribution

It analyzes domain wall configurations and their stability in a simple two-scalar superfield model, revealing complex behaviors such as decay and intersections.

Findings

Multiple domain wall configurations exist in the model.

Some configurations become unstable and decay into multiple walls.

Intersections of domain walls can form depending on couplings.

Abstract

A supersymmetric theory with several scalar superfields generically has several domain wall type classical configurations which interpolate between various supersymmetric vacua of the scalar fields. Depending on the couplings, some of these configurations develop instability and decay into multiple domain walls, others can form intersections in space. These phenomena are considered here in a simplest, yet non-trivial, model with two scalar superfields.