  We construct a family of two-dimensional non-Abelian topological phases from
coupled wires using a non-Abelian bosonization approach. We then demonstrate
how to determine the nature of the non-Abelian topological order (in
particular, the anyonic excitations and the topological degeneracy on the
torus) realized in the resulting gapped phases of matter. This paper focuses on
the detailed case study of a coupled-wire realization of the bosonic
$su(2)^{\,}_{2}$ Moore-Read state, but the approach we outline here can be
extended to general bosonic $su(2)^{\,}_{k}$ topological phases described by
non-Abelian Chern-Simons theories. We also discuss possible generalizations of
this approach to the construction of three-dimensional non-Abelian topological
phases.
