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We give some evidences of the AGT-W relation between SU(3) quiver gaugetheories and A_2 Toda theory. In particular, we derive the explicit form of5-point correlation functions in the lower orders and confirm the agreementwith Nekrasov's partition function for SU(3)xSU(3) quiver gauge theory. Thealgorithm to derive the correlation functions can be applied to general n-pointfunction in A_2 Toda theory which will be useful to establish the relation formore generic quivers. Partial analysis is also given for SU(3)xSU(2) case andwe comment on some technical issues which need clarification beforeestablishing the relation.

Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver