  We review some recent developments on BPS string solutions and monopole
confinement in the Higgs or (color) superconducting phase of deformed N=2 and
N=4 super Yang-Mills theories. In particular, the monopole magnetic fluxes are
shown to be always integer linear combinations of string fluxes. Moreover, a
bound for the threshold length of the string breaking is obtained. When the
gauge group SU(N) is broken to Z_N, the BPS string tension satisfies the
Casimir scaling law. Furthermore in the SU(3) case the string solutions are
such that they allow the formation of a confining system with three monopoles.

High Energy Physics - Theory;High Energy Physics - Lattice;High Energy Physics - Phenomenology