Bulk effective theory in coupled wire construction from generalized   Wilson line
  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. 
Yukihisa Imamura and Keisuke Totsuka
cond-mat.str-el