Instanton wave and M-wave in multiple M5-branes system

Abstract

We consider the non-abelian self-dual two-form theory (Chu and Ko, J. High Energy Phys. 1205:028, 2012) and find new exact solutions. Our solutions are supported by Yang-Mills (anti)instantons in four dimensions and describe a wave moving in null directions. We argue and provide evidence that these instanton wave solutions correspond to an 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 wave solutions. © 2013 Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica.