Neutrino Zero Modes and Stability of Electroweak Strings

TL;DR

This paper explores how neutrino zero modes influence the stability of electroweak strings, suggesting that the absence of such modes indicates the formation of topologically stable strings driven by fermionic effects.

Contribution

It introduces the idea that neutrino zero modes are crucial for electroweak string stability and links their absence to the emergence of topologically stable strings with fermion-induced topology.

Findings

Neutrino zero modes are present in electroweak string backgrounds.

Absence of neutrino zero modes implies the formation of topologically stable strings.

Fermionic sector induces non-trivial topology essential for string stability.

Abstract

We discuss massless and massive neutrino zero modes in the background of an electroweak string. We argue that the eventual absence of the neutrino zero mode implies the existence of topologically stable strings where the required non-trivial topology has been induced by the fermionic sector.