In this paper we study a class of N=2 SCFTs with ADE global
symmetry defined via Type IIB compactification on a class of hypersurfaces in
C3ΓCβ. These can also be constructed by
compactifying the 6d (2,0) theory of type ADE on a sphere with an irregular and
a full punctures. When we couple to the ADE moment map a chiral multiplet in
the adjoint representation and turn on a (principal) nilpotent vev for it, all
the theories in this family display enhancement of supersymmetry in the
infrared. We observe that all known examples of lagrangian theories which flow,
upon the same type of deformation, to strongly coupled N=2 theories
fit naturally in our framework, thus providing a new perspective on this topic.
We propose an infrared equivalence between this RG flow and a manifestly
N=2 preserving one and, as a byproduct, we extract a precise
prescription to relate the SW curves describing the UV and IR fixed points for
all theories with A or D global symmetry. We also find, for a certain subclass,
a simple relation between UV and IR theories at the level of chiral algebras.Comment: clarifications added, version published in JHE