https://doi.org/10.1140/epjc/s10052-013-2586-4
Regular Article - Theoretical Physics
Instanton wave and M-wave in multiple M5-branes system
1
Department of Physics, National Tsing-Hua University, Hsinchu, 30013, Taiwan
2
National Center for Theoretical Sciences, National Tsing-Hua University, Hsinchu, 30013, Taiwan
3
Centre for Particle Theory and Department of Mathematics, Durham University, Durham, DH1 3LE, UK
* e-mail: chong-sun.chu@durham.ac.uk
Received:
26
July
2013
Revised:
29
August
2013
Published online:
2
October
2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
