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We explore the proposal that the six-dimensional (2,0) theory on the Riemannsurface with irregular punctures leads to a four-dimensional gauge theorycoupled to the isolated N=2 superconformal theories of Argyres-Douglas type,and to two-dimensional conformal field theory with irregular states. Followingthe approach of Gaiotto-Teschner for the Virasoro case, we construct W_3irregular states by colliding a single SU(3) puncture with several regularpunctures of simple type. If n simple punctures are colliding with the SU(3)puncture, the resulting irregular state is a simultaneous eigenvector of thepositive modes L_n, ..., L_{2n} and W_{2n}, ..., W_{3n} of the W_3 algebra. Wefind the corresponding isolated SCFT with an SU(3) flavor symmetry as anontrivial IR fixed point on the Coulomb branch of the SU(3) linear quivergauge theories, by confirming that its Seiberg-Witten curve correctly predictsthe conditions for the W_3 irregular states. We also compare these SCFT's withthe ones obtained from the BPS quiver method.

W_3 irregular states and isolated N=2 superconformal field theories