New examples of N = 2 supersymmetric conformal field theories are foun
d as fixed points of SU(2) N = 2 supersymmetric QCD. Relations among t
he scaling dimensions of their relevant chiral operators, global symme
tries, and Higgs branches are understood in terms of the general struc
ture of relevant deformations of non-trivial N = 2 conformal field the
ories. The spectrum of scaling dimensions found are all those compatib
le with relevant deformations of a y(2) = x(3) singular curve.