  Using a convolutive field theoretic product, it is shown here that the
"square" of an Abelian $D=6$, $\mathcal{N}=(2,0)$ theory yields the free $D=6$,
$\mathcal{N}=(4,0)$ theory constructed by Hull, together with its generalised
(super)gauge transformations. This offers a new perspective on the $(4, 0)$
theory and chiral theories of conformal gravity more generally, while at the
same time extending the domain of the "gravity = gauge $\times$ gauge"
paradigm.
