Domain Wall Junctions in Supersymmetric Field Theories in D=4

TL;DR

This paper investigates BPS domain wall junctions in four-dimensional N=1 supersymmetric Wess-Zumino models, exploring how different superpotential parameters influence the existence of BPS states and their configurations.

Contribution

It provides a systematic analysis of BPS domain wall junctions for general polynomial superpotentials and visualizes the parameter space of these solutions.

Findings

Different BPS states are found for various superpotential parameters.

Graphical representations of the parameter space of BPS configurations are provided.

Comments on domain walls in related string theory contexts are included.

Abstract

We study the possible BPS domain wall junction configurations for general polynomial superpotentials of N=1 supersymmetric Wess-Zumino models in D=4. We scan the parameter space of the superpotential and find different possible BPS states for different values of the deformation parameters and present our results graphically. We comment on the domain walls in F/M/IIA theories obtained from the Calabi-Yau fourfolds with isolated singularities and a background flux.