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arXiv · 2302.06622

Emergent N=4 supersymmetry from N=1

Monica Jinwoo Kang·Craig Lawrie·Ki-Hong Lee·Jaewon Song
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Abstract

We discover a four-dimensional $\mathcal{N}=1$ supersymmetric field theory that is dual to the $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(2n+1)$ for each $n$. The dual theory is constructed through the diagonal gauging of the $SU(2n+1)$ flavor symmetry of three copies of a strongly-coupled superconformal field theory (SCFT) of Argyres-Douglas type. We find that this theory flows in the infrared to a strongly-coupled $\mathcal{N}=1$ SCFT that lies on the same conformal manifold as $\mathcal{N}=4$ super Yang-Mills with gauge group $SU(2n+1)$. Our construction provides a hint on why certain $\mathcal{N}=1,2$ SCFTs have identical central charges ($a=c$).

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Monica Jinwoo Kang, Craig Lawrie, Ki-Hong Lee, Jaewon Song. 2023-02-13. Emergent N=4 supersymmetry from N=1. https://doi.org/10.1103/physrevlett.130.231601

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