Emergent N=4 supersymmetry from N=1

TL;DR

This paper constructs an $ =1$ supersymmetric field theory that is dual to $ =4$ super Yang-Mills with gauge group $SU(2n+1)$, revealing insights into the structure of strongly-coupled SCFTs and their conformal manifolds.

Contribution

It introduces a novel $ =1$ SCFT dual to $ =4$ SYM via diagonal gauging of Argyres-Douglas type theories, explaining the $a=c$ coincidence in some SCFTs.

Findings

The $ =1$ theory flows to a strongly-coupled SCFT on the same conformal manifold as $ =4$ SYM.

The construction provides a new perspective on dualities involving $ =1$ and $ =4$ supersymmetry.

Insights into why certain $ =1,2$ SCFTs have equal central charges.

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 ($a=c$).