Exact BPS monopole solution in a self-dual background

TL;DR

This paper presents an exact monopole solution within a self-dual background in SU(2) Yang-Mills-Higgs theory, achieved through the inverse scattering method in the BPS limit, advancing understanding of monopole configurations.

Contribution

It provides the first exact monopole solution in a self-dual background using inverse scattering in the BPS limit, filling a gap in monopole research.

Findings

Exact monopole solution derived

Solution applicable in self-dual background

Method enhances analytical monopole studies

Abstract

An exact one monopole solution in a uniform self-dual background field is obtained in the BPS limit of the SU(2) Yang-Mills-Higgs theory by using the inverse scattering method.