  We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic
monopoles in a phase with fully broken gauge symmetry. Rather than spreading
out radially, the magnetic field lines form flux tubes. The solution is
topologically stable and, when embedded in N=2 SQCD, preserves 1/4 of the
supercharges. From the perspective of the flux-tube the monopole appears as a
kink. Many monopoles may be threaded onto a single flux tube and placed at
arbitrary separation to create a stable, BPS necklace of solitons.
