We propose that a certain $4d$ $\mathcal{ N}=1$ $SU(2)\times SU(2)$ gauge theory flows in the IR to an $\mathcal{ N}=3$ SCFT plus a single free chiral field. The specific $\mathcal{ N}=3$ SCFT has rank $1$ and a dimension three Coulomb branch operator. The flow is generically expected to land at the $\mathcal{ N}=3$ 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 $\mathcal{ N}=3$ superconformal symmetry, and use these to test our proposal. Finally, we discuss a generalization to another $\mathcal{ N}=1$ model that we propose is related to a certain rank $3$ $\mathcal{ N}=3$ SCFT through the turning of certain marginal deformations.
Categories: hep-th