Instanton String and M-Wave in Multiple M5-Branes System

TL;DR

This paper presents new exact solutions in non-abelian self-dual two-form theory supported by Yang-Mills instantons, which describe M-waves on multiple M5-branes and match known D-brane configurations upon reduction.

Contribution

It introduces novel instanton string solutions in non-abelian self-dual two-form theory that model M-waves on M5-branes and connect to D0/D4 systems via dimensional reduction.

Findings

Instanton string solutions supported by Yang-Mills instantons.

Solutions describe wave moving in null directions on M5-branes.

Dimensional reduction reproduces D0/D4 brane system correspondence.

Abstract

We consider the non-abelian self-dual two-form theory arXiv:1203.4224 and find new exact solutions. Our solutions are supported by Yang-Mills (anti)instantons in 4-dimensions and describe wave moving in null directions. We argue and provide evidence that these instanton string solutions correspond to M-wave (MW) on the worldvolume of multiple M5-branes. When dimensionally reduced on a circle, the MW/M5 system is reduced to the D0/D4 system with the D0-branes represented by the Yang-Mills instanton of the D4-branes Yang-Mills gauge theory. We show that this picture is precisely reproduced by the dimensional reduction of our instanton string solutions.