Self-dual vortex-like configurations in SU(2) Yang-Mills theory

Abstract We show that there are solutions of the SU(2) Yang-Mills classical equations of motion in R 4 , which are self-dual and vortex-like(fluxons). The action density is concentrated along a thick two-dimensional wall (the world sheet of a straight infinite vortex line). The configurations are constructed from self-dual R 2 × T 2 configurations.