  We examine the energetics of Q-balls in Maxwell-Chern-Simons theory in two
space dimensions. Whereas gauged Q-balls are unallowed in this dimension in the
absence of a Chern-Simons term due to a divergent electromagnetic energy, the
addition of a Chern-Simons term introduces a gauge field mass and renders
finite the otherwise-divergent electromagnetic energy of the Q-ball. Similar to
the case of gauged Q-balls, Maxwell-Chern-Simons Q-balls have a maximal charge.
The properties of these solitons are studied as a function of the parameters of
the model considered, using a numerical technique known as relaxation. The
results are compared to expectations based on qualitative arguments.
