  We show that four-dimensional superconformal algebras admit an
infinite-dimensional derived enhancement after performing a holomorphic twist.
The type of higher symmetry algebras we find are closely related to algebras
studied by Faonte-Hennion-Kapranov, Hennion-Kapranov, and the second author
with Gwilliam in the context of holomorphic QFT. We show that these algebras
are related to the two-dimensional chiral algebras extracted from
four-dimensional superconformal theories by Beem and collaborators; further
deforming by a superconformal element induces the Koszul resolution of a plane
in $\mathbb{C}^2 \cong \mathbb{R}^4$. The central charges at the level of
chiral algebras arise from central extensions of the higher symmetry algebras.
