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Register a new userAn N=1 Lagrangian for an N=3 SCFT
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Gabi Zafrir
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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.
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