ADHMN boundary conditions from removing monopoles

TL;DR

This paper explores how removing monopoles to infinity relates different boundary conditions in the ADHMN construction, revealing how jumping data naturally emerge and connecting the theory to D-brane interpretations.

Contribution

It demonstrates a method to relate boundary conditions in the ADHMN construction by monopole removal, clarifying the origin of jumping data and enhancing understanding from a D-brane perspective.

Findings

Boundary conditions can be connected via monopole removal.

Jumping data naturally emerge from this process.

Provides insights into D-brane interpretations of monopoles.

Abstract

Boundary conditions play an important role in the ADHMN construction of BPS monopole solutions. In this paper we show how different types of boundary conditions can be related to each other by removing monopoles to spatial infinity. In particular, we use this method to show how the jumping data naturally emerge. The results can be interpreted in the D-brane picture and provide a better understanding of the derivation of the ADHMN construction from D-branes. We comment briefly on the cases with non-Abelian unbroken symmetry and massless monopoles.