Two Massive and One Massless Sp(4) Monopoles

TL;DR

This paper constructs explicit BPS monopole solutions in an $Sp(4)$ gauge theory, revealing a family of configurations with two massive and one massless monopoles, and analyzes their moduli space geometry.

Contribution

It provides explicit solutions and metrics for the moduli space of monopoles with mixed massive and massless types in $Sp(4)$ gauge theory, extending previous monopole studies.

Findings

Explicit field configurations for two massive and one massless monopoles.

Derived metrics for the 12-dimensional moduli space of Nahm data.

Identified axial symmetric solutions using the ADHMN construction.

Abstract

Starting from Nahm's equations, we explore BPS magnetic monopoles in the Yang-Mills Higgs theory of gauge group $Sp(4)$ which is broken to $SU(2)\times U(1)$. A family of BPS field configurations with purely Abelian magnetic charge describe two identical massive monopoles and one massless monopole. We construct the field configurations with axial symmetry by employing the ADHMN construction, and find the explicit expression of the metrics for the 12-dimensional moduli space of Nahm data and its submanifolds.