Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories

We show that a proposed duality [1] between infinitely coupled gauge theories and superconformal field theories (SCFTs) with weakly gauged flavor groups predicts the existence of new rank 1 SCFTs. These superconformal fixed point theories have the same Coulomb branch singularities as the rank 1 E-6, E-7, and E-8 SCFTs, but have smaller flavor symmetry algebras and different central charges. Gauging various subalgebras of the flavor algebras of these rank 1 SCFTs provides many examples of infinite-coupling dualities, satisfying an intricate set of consistency checks. They also provide examples of N = 2 conformal theories with marginal couplings but no weak-coupling limits.