  In 2+1-dimensional conformal field theories with a global U(1) symmetry,
monopoles can be introduced through a background gauge field that couples to
the U(1) conserved current. We use the state-operator correspondence to
calculate scaling dimensions of such monopoles. We obtain the next-to-leading
term in the 1/N_b expansion of the Wilson-Fisher fixed point in the theory of
N_b complex bosons.
