  We study N=2 supersymmetric SU(2) gauge theories coupled to non-Lagrangian
superconformal field theories induced by compactifying the six dimensional A_1
(2,0) theory on Riemann surfaces with irregular punctures. These are naturally
associated to Hitchin systems with wild ramification whose spectral curves
provide the relevant Seiberg-Witten geometries. We propose that the
prepotential of these gauge theories on the Omega-background can be obtained
from the corresponding irregular conformal blocks on the Riemann surfaces via a
generalization of the coherent state construction to the case of higher order
singularities.
