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The six-dimensional (2,0) theory formulated in the \Omega-background givesrise to two-dimensional effective degrees of freedom. By compactifying thetheory on the circle fibers of two cigar-like manifolds, we find that a naturalcandidate for the effective theory is a chiral gauged WZW model. The symmetryalgebra of the model contains the W-algebra that appears on the two-dimensionalside of the AGT correspondence. We show that the expectation values of itscurrents determine the Seiberg-Witten curve of the four-dimensional side.

Compactification on the \Omega-background and the AGT correspondence