The non-abelian self dual string on the light cone

We construct the scalar profile for the non-abelian self dual string connec ting two M5-branes compactified on a light-like circle. The construction is based on a conjectured modified version of Nahm's equations describing a D 2-brane, with a magnetic field on it, suspended between two D4-branes. Turn ing on a constant magnetic field on the D2-brane corresponds to a boost in the eleventh direction. In the limit of infinite boost the D4-branes corres pond to light-like compactified M5-branes. The solution for the scalar prof ile of the brane remains finite in this limit and displays all the correct expected features such as smooth interpolation between the unbroken and bro ken phase with the correct value for the Higgs field at infinity.