Maxwell-Higgs self-dual solitons on an infinite cylinder

TL;DR

This paper investigates self-dual topological solitons in the Maxwell-Higgs model constrained to an infinite cylindrical surface, analyzing their properties through theoretical and numerical methods.

Contribution

It demonstrates the existence of self-dual soliton solutions on an infinite cylinder and explores their properties via Bogomol'nyi equations.

Findings

Existence of self-dual solitons on an infinite cylinder

Derivation of Bogomol'nyi equations for the model

Numerical analysis of soliton solutions

Abstract

We have studied the Maxwell-Higgs model on the surface of an infinite cylinder. In particular we show that this model supports self-dual topological soliton solutions on the infinite tube. Finally, the Bogomol'nyi-type equations are studied from theoretical and numerical point of view.