  We develop a coupled wire construction of chiral spin liquids. The starting
point are individual wires of electrons in the Mott regime that are subject to
a Zeeman field and Rashba spin-orbit coupling. Suitable spin-flip couplings
between the wires yield an Abelian chiral spin liquid state which supports
spinon excitations above a bulk gap, and chiral edge states. The approach
generalizes to non-Abelian chiral spin liquids at level k with parafermionic
edge states.
