On intersection of domain walls in a supersymmetric model

TL;DR

This paper studies the intersection of two domain walls in a supersymmetric model, providing explicit solutions for parallel walls, an approximation for intersecting walls at small angles, and analyzing the intersection's energy and length.

Contribution

It introduces an explicit solution for parallel domain walls and an approximation method for intersecting walls at small angles in a supersymmetric context.

Findings

Finite effective length of the intersection region.

Calculated energy associated with the intersection.

Explicit field profile for parallel walls at finite separation.

Abstract

We consider a classical field configuration, corresponding to intersection of two domain walls in a supersymmetric model, where the field profile for two parallel walls at a finite separation is known explicitly. An approximation to the solution for intersecting walls is constructed for a small angle at the intersection. We find a finite effective length of the intersection region and also an energy, associated with the intersection.