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We discuss the correspondence between degenerate fields of the W_N algebraand punctures of Gaiotto's description of the Seiberg-Witten curve of N=2superconformal gauge theories. Namely, we find that the type of degeneratefields of the W_N algebra, with null states at level one, is classified byYoung diagrams with N boxes, and that the singular behavior of theSeiberg-Witten curve near the puncture agrees with that of W_N generators. Wealso find how to translate mass parameters of the gauge theory to the momentaof the Toda theory.

N=2 gauge theories and degenerate fields of Toda theory