A Bogomol`nyi equation for intersecting domain walls

TL;DR

This paper demonstrates that certain supersymmetric models admit stable, intersecting domain wall solutions at junctions, with energy bounds and supersymmetry preservation, expanding understanding of topological defects in field theories.

Contribution

It introduces a Bogomol'nyi equation for intersecting domain walls in the Wess-Zumino model, revealing new stable junction solutions that preserve supersymmetry.

Findings

Existence of static intersecting domain wall solutions

Derivation of an energy bound for junctions

Solutions preserve 1/4 supersymmetry

Abstract

We argue that the Wess-Zumino model with quartic superpotential admits static solutions in which three domain walls intersect at a junction. We derive an energy bound for such junctions and show that configurations saturating it preserve 1/4 supersymmetry.