A note on the (1, 1,..., 1) monopole metric

TL;DR

This paper supports the conjecture that the asymptotic metric on the moduli space of (1, 1,..., 1) BPS monopoles is globally exact by comparing it with the metric on the Nahm data space.

Contribution

It demonstrates the equivalence of the monopole moduli space metric and the Nahm data space metric, providing evidence for the conjecture of global exactness.

Findings

The Nahm data space metric matches the asymptotic monopole moduli space metric.

Supports the conjecture that the asymptotic metric is globally exact.

Provides a new perspective on monopole moduli space geometry.

Abstract

Recently K. Lee, E.J. Weinberg and P. Yi in CU-TP-739, hep-th/9602167, calculated the asymptotic metric on the moduli space of (1, 1, ..., 1) BPS monopoles and conjectured that it was globally exact. I lend support to this conjecture by showing that the metric on the corresponding space of Nahm data is the same as the metric they calculate.