Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors

TL;DR

This paper analyzes zero modes and discovers novel bound states of Higgs and vector bosons in BPS vortices within Ginzburg-Landau superconductors, providing detailed insights into their fluctuation spectrum at the critical point.

Contribution

It provides a detailed analysis of zero modes and identifies new bound states of Higgs and vector bosons in BPS vortices at the superconductor critical point.

Findings

Zero modes of vortex fluctuations are fully characterized.

Novel bound states of Higgs and vector bosons are identified.

Insights into vortex stability and particle trapping mechanisms.

Abstract

In this paper the zero modes of fluctuation of cylindrically symmetric self-dual vortices are analyzed and described in full detail. These BPS topological defects arise at the critical point between Type II and Type I superconductors, or, equivalently, when the masses of the Higgs particle and the vector boson in the Abelian Higgs model are equal. In addition, novel bound states of Higss and vector bosons trapped by the self-dual vortices at their core are found and investigated.