We present and discuss explicit solutions to the non-Abelian self-dual string equation as well as to the non-Abelian self-duality equation in six dimensions. These solutions are generalizations of the 't Hooft-Polyakov monopole and the basic SU(2) instanton to higher gauge theory. We expect that these solutions are relevant to the effective description of M2- and M5-branes.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 26 Mar 2014|