  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 ($a=c$).
