  There are three types of monopole in gauge theories with fundamental matter
and N=2 supersymmetry broken by a superpotential. There are unconfined
0-monopoles and also 1 and 2-monopoles confined respectively by one or two
vortices transforming under distinct components of the unbroken gauge group. If
a Fayet-Iliopoulos term is added then there are only 2-monopoles. Monopoles
transform in the bifundamental representation of two components of the unbroken
gauge symmetry, and if two monopoles share a component they may form a
boundstate. Selection rules for this process are found, for example vortex
number is preserved modulo 2. We find the tensions of the vortices, which are
in general distinct, and also the conditions under which vortices are mutually
BPS. Results are derived in field theory and also in MQCD, and in quiver
theories a T-dual picture may be used in which monopoles are classified by
quiver diagrams with two colors of vertices.
