Domain Walls and Flux Tubes

TL;DR

This paper introduces a new vortex solution formed by a domain wall compactified into a cylinder stabilized by magnetic flux, providing detailed analysis of its properties and classifications of junctions with domain walls across various theories.

Contribution

It presents a novel vortex solution involving a domain wall cylinder stabilized by flux and classifies all possible junctions between flux tubes and domain walls.

Findings

Derived tension spectrum and profile functions for the vortex

Classified all types of flux tube and domain wall junctions

Analyzed examples in both abelian and non-abelian, supersymmetric and non-supersymmetric theories

Abstract

We present a new vortex solution made of a domain wall compactified into a cylinder and stabilized by the magnetic flux within. When the thickness of the wall is much less than the radius of the vortex some precise results can be obtained, such as the tension spectrum and profile functions. This vortex can naturally end on the wall that has created it, making the simplest junction between a wall and a vortex. We then classify every kind of junction between a flux tube and domain wall. The criteria for classification are as follows: a flux can or can not end on the wall, and when it ends, the flux must go somewhere. Various examples are discussed, including abelian and non-ablelian theories, as well as supersymmetric and non-supersymmetric theories.