Generalized Dynamics of Two Distict BPS Monopoles

TL;DR

This paper analyzes the classical and quantum behavior of two different BPS monopoles with non-aligned Higgs fields, revealing symmetries that enable derivation of bound states and scattering properties.

Contribution

It provides a group-theoretical approach to the low energy dynamics of two distinct BPS monopoles with non-aligned Higgs fields, incorporating a potential and Taub-NUT metric.

Findings

Derived bound-state spectrum using symmetry considerations

Calculated scattering cross sections based on the effective theory

Identified O(4) or O(3,1) symmetry in the system

Abstract

Classical and quantum dynamics of two distinct BPS monopoles in the case of non-aligned Higgs fields are studied on the basis of the recently determined low energy effective theory. Despite the presence of a specific potential together with a kinetic term provided by the metric of a Taub-NUT manifold, an O(4) or O(3,1) symmetry of the system allows for a group theoretical derivation of the bound-state spectrum and the scattering cross section.