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We study on the property of 3-point correlation functions of 2-dim A_{N-1}Toda field theory, and show the correspondence with the 1-loop part ofpartition function of 4-dim N=2 SU(N) quiver gauge theory. As a result, we cancheck successfully the 1-loop part of AGT-W relation for all the cases of SU(N)quiver gauge group.

Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for SU(N) quiver