Dyonic Instanton as Supertube between D4 Branes

TL;DR

This paper explores dyonic instantons in 5D Yang-Mills theory, revealing their structure and identifying them as supertubes between D4 branes, with new insights into their monopole string loops and geometric properties.

Contribution

It introduces the most general two-instanton solution's dyonic version and connects it to supertubes between D4 branes, expanding understanding of their geometric and topological features.

Findings

Rederived the porism structure of triangles in the solution

Identified magnetic monopole string loops

Connected dyonic instantons to supertubes between D4 branes

Abstract

We study dyonic instantons in (4+1) dimensional Yang-Mills theory. Especially we consider the most general two instanton solution given by the Jackiw-Nohl-Rebbi ansatz and find its dyonic version. By exploring the zeros of the Higgs field, we rederive the porism structure of triangles in this solution and also find the magnetic monopole string loop. This leads to the identification of dyonic instanton with the supertube inserted between D4 branes.