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arXiv · 2007.14955

An N=1 Lagrangian for an N=3 SCFT

Gabi Zafrir
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Abstract

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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Gabi Zafrir. 2020-07-29. An N=1 Lagrangian for an N=3 SCFT. https://doi.org/10.1007/jhep01(2021)062

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