# The Charge 2 Monopole via the ADHMN construction

## TL;DR

This paper applies integrable systems techniques to explicitly construct the charge 2 SU(2) Euclidean monopole using the ADHMN construction, solving a long-standing open problem and providing new analytic results.

## Contribution

It provides the first explicit analytic formula for the charge 2 monopole via the ADHMN construction using integrable systems methods.

## Key findings

- Explicit formulae for charge 2 monopole obtained
- Comparison with previous results confirms correctness
- New analytic expressions for monopole fields presented

## Abstract

Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean monopole. Here we do this for the case of charge 2: so answering an open problem of some 30 years standing. A comparison with known results and other approaches is made and new results presented.

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Source: https://tomesphere.com/paper/1903.00694