Giant Gravitons and non-conformal vacua in twisted holography

Twisted holography relates the two-dimensional chiral algebra subsector of $\mathcal{N}=4$ SYM to the B-model topological string theory on the deformed conifold $SL(2,\mathbb{C})$. We review the relevant aspects of the duality and its two generalizations: the correspondence between determinant operators and “Giant Graviton” branes and the extension to non-conformal vacua of the chiral algebra.