Spectral structure of fluctuations around $n$-vortices in the Abelian-Higgs model

TL;DR

This paper analyzes the internal spectral modes of higher-charge Abelian-Higgs vortices, revealing how their symmetry influences stability and disintegration pathways in the critical regime.

Contribution

It provides a detailed analysis of the internal mode structure of higher-charge vortices, identifying symmetry-conserving and multipolar modes affecting vortex stability.

Findings

Identified modes that conserve vortex symmetry (Derrick type)

Discovered modes with different symmetry (multipolar modes)

Determined disintegration channels near the critical regime

Abstract

We study in detail the internal structure of rotationally invariant higher-charge Abelian-Higgs vortices. The symmetry of the normal modes close to the critical regime for type II vortices determines the possible disintegration channels. The full internal mode structure is discussed, finding modes that conserve the vortex symmetry (Derrick type modes) and modes whose symmetry differs (multipolar modes).