Numerical Nahm transform for 2-caloron solutions

TL;DR

This paper introduces a numerical method to compute 2-caloron solutions using the Nahm transform, solving Weyl equations directly and analyzing action densities for solutions with multiple moduli parameters.

Contribution

The paper presents a novel numerical approach for the Nahm transform applied to charge 2 calorons, including solving Weyl equations with boundary impurities.

Findings

Successfully computed 2-caloron solutions with 10 moduli parameters

Demonstrated the effectiveness of the numerical method in analyzing action densities

Established a basis for solving Weyl equations with boundary impurities

Abstract

A new numerical method for performing the Nahm transform for charge $k=2$ caloron is presented. The Weyl equations with boundary impurities are solved directly and the determination of the appropriate basis to the linear system is established. The action densities of the 2-calorons with 10 moduli parameters are shown.