TL;DR
This paper develops a new Painleve-based technique to approximate twistor data for cyclic symmetric SU(2) BPS monopoles, enabling analytical and numerical studies of monopole configurations and scattering behaviors.
Contribution
Introduces a novel Painleve analysis method for constructing approximate twistor data of cyclic symmetric monopoles, advancing analytical and numerical monopole research.
Findings
Approximate spectral curves and Nahm data for cyclic monopoles.
Numerical analysis of Higgs field zeros and energy densities.
Description of a new low energy monopole scattering regime.
Abstract
We study charge k SU(2) BPS monopoles which are symmetric under the cyclic group of order k. Approximate twistor data (spectral curves and Nahm data) is constructed using a new technique based upon a Painleve analysis of Nahm's equation around a pole. With this data both analytical and numerical approximate ADHMN constructions are performed to study the zeros of the Higgs field and the monopole energy densities. The results describe, via the moduli space approximation, a novel type of low energy k monopole scattering.
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