Expanding the landscape of N $$ mathcal{N} $$ = 2 rank 1 SCFTs

We refine our previous proposal [1-3] for systematically classifying 4d rank-1 $$ mathcal{n} $$ = 2 scfts by constructing their possible coulomb branch geometries. four new recently discussed rank-1 theories [4, 5], including novel $$ mathcal{n} $$ = 3 scfts, sit beautifully in our refined classification framework. by arguing for the consistency of their rg flows we can make a strong case for the existence of at least four additional rank-1 scfts, nearly doubling the number of known rank-1 scfts. the refinement consists of relaxing the assumption that the flavor symmetries of the scfts have no discrete factors. this results in an enlarged (but finite) set of possible rank-1 scfts. their existence can be further constrained using consistency of their central charges and rg flows.