Landscape of Simple Superconformal Field Theories in 4D

We explore the space of renormalization group flows that originate from supersymmetric N = 1 SU(2) gauge theory with one adjoint and a pair of fundamental chiral multiplets. By considering all possible relevant deformations-including coupling to gauge-singlet chiral multiplets-we find 34 fixed points in this simple setup. We observe that theories in this class exhibit many novel phenomena: emergent symmetry, decoupling of operators, and narrow distribution of central charges a/c. This set of theories includes two of the N = 2 minimal Argyres-Douglas theories and their mass deformed versions. In addition, we find 36 candidate fixed point theories possessing unphysical fermionic operators-including one with central charges (a, c) similar or equal to (0.20, 0.22) that are smaller than any known superconformal theory-that need further investigation.