An N = 1 Lagrangian for an N = 3 SCFT

We propose that a certain 4dN = 1 SU(2) × SU(2) gauge theory flows in the IR to an N = 3 SCFT plus a single free chiral field. The specific N = 3 SCFT has rank 1 and a dimension three Coulomb branch operator. The flow is generically expected to land at the N = 3 SCFT deformed by the marginal deformation associated with said Coulomb branch operator. We also present a discussion about the properties expected of various RG invariant quantities from N = 3 superconformal symmetry, and use these to test our proposal. Finally, we discuss a generalization to another N = 1 model that we propose is related to a certain rank 3 N = 3 SCFT through the turning of certain marginal deformations.