N $$ mathcal{N} $$ =1 Deformations and RG flows of N $$ mathcal{N} $$ =2 SCFTs, part II: non-principal deformations

We continue to investigate the $$ mathcal{n} $$ = 1 deformations of four-dimensional $$ mathcal{n} $$ = 2 superconformal field theories (scfts) labeled by a nilpotent element of the flavor symmetry [1]. this triggers a renormalization group (rg) flow to an $$ mathcal{n} $$ = 1 scft. we systematically analyze all possible deformations of this type for certain classes of $$ mathcal{n} $$ = 2 scfts: conformal sqcds, generalized argyres-douglas theories and the e 6 scft. we find a number of examples where the amount of supersymmetry gets enhanced to $$ mathcal{n} $$ = 2 at the end point of the rg flow. most notably, we find that the su(n ) and sp(n ) conformal sqcds can be deformed to flow to the argyres-douglas (ad) theories of type (a 1 , d 2n −1) and (a 1 , d 2n ) respectively. this rg flow therefore allows us to compute the full superconformal index of the (a 1 , d n ) class of ad theories. moreover, we find an infrared duality between $$ mathcal{n} $$ = 1 theories where the fixed point is described by an $$ mathcal{n} $$ = 2 ad theory. we observe that the classes of examples that exhibit supersymmetry enhancement saturate certain bounds for the central charges implied by the associated two-dimensional chiral algebra.