  We reconsider the coupled wire construction, which is a useful method of
obtaining two and three-dimensional topologically ordered states from an array
of one-dimensional CFTs, and show that there is the hidden structure in the
bulk of the constructed model. In order to uncover the structure hidden in the
gapped bulk, we introduce a generalized Wilson line and show the necessity of
introducing a new gauge field, which behaves like the Chern-Simons gauge field.
From these examination, it is possible to show that in this formulation the
bulk theory is the U(1) Chern-Simons gauge theory and the edge theory is the
chiral Luttinger theory. We explicitly demonstrate our method for the Laughlin
states and the chiral spin liquid state.
