We derive and test a novel holographic duality in the B-model topological
string theory. The duality relates the B-model on certain Calabi-Yau
three-folds to two-dimensional chiral algebras defined as gauged
$\beta\gamma\,$ systems. The duality conjecturally captures a topological
sector of more familiar $\mathrm{AdS}_5 / \mathrm{CFT}_4$ holographic
dualities.