  Insulating $\mathbb{Z}_2$ spin liquids are a phase of matter with bulk
anyonic quasiparticle excitations and ground state degeneracies on manifolds
with non-trivial topology. In this paper, we construct a time-reversal
symmetric $\mathbb{Z}_2$ spin liquid in two spatial dimensions using an array
of quantum wires. We identify the anyons as kinks in the appropriate
Luttinger-liquid description, compute their mutual statistics and construct
local operators that transport these quasiparticles. We also present a
construction of a fractionalized Fermi-liquid (FL*) by coupling the spin sector
of the $\mathbb{Z}_2$ spin-liquid to a Fermi-liquid via a Kondo-like coupling.
