We study W3 toroidal conformal blocks for degenerate primary fields in AdS/CFT context. In the large central charge limit W3 algebra reduces to sl3
Nearby in the stack
algebra and
sl3
blocks are defined as contributions to
W3
blocks coming from the generators of
sl3
subalgebra. We consider the construction of
sl3
toroidal blocks in terms of Wilson lines operators of
3d
Chern-Simons gravity in the thermal AdS
3
space-time. According to the correspondence, degenerate primary fields are associated with Wilson lines operators acting in the corresponding finite-dimensional
sl3
representations. We verify this dual construction for one-point toroidal block using
sl3
tensor technique in the bulk theory and an algorithm based on AGT correspondence in the boundary CFT.