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We study the correlators of the 2d W_N minimal model in the semiclassicalregime with large central charge from bulk viewpoint by utilizing open Wilsonlines in sl(N) Chern-Simons gauge theory. We extend previous works for the treelevel of bulk theory to incorporate loop corrections in this paper. We offer away to regularize divergences associated with loop diagrams such that threepoint functions with two scalars and a higher spin current agree with thevalues fixed by the boundary W_N symmetry. With the prescription, we reproducethe conformal weight of the operator corresponding to a bulk scalar up to thetwo loop order for explicit examples with N=2,3.

Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections