Chiral zero-mode for abelian BPS dipoles

TL;DR

This paper presents an exact, normalisable chiral fermion zero-mode solution for abelian BPS dipoles, linking it to the high temperature limit of SU(2) calorons with non-trivial holonomy.

Contribution

It provides the first explicit zero-energy chiral fermion solution for abelian BPS dipoles, connecting to caloron solutions in gauge theory.

Findings

Exact zero-mode solution for abelian BPS dipoles

Connection to high temperature limit of SU(2) calorons

Insight into fermionic zero-modes in gauge configurations

Abstract

We present an exact normalisable zero-energy chiral fermion solution for abelian BPS dipoles. For a single dipole, this solution is contained within the high temperature limit of the SU(2) caloron with non-trivial holonomy.