Origami with a Twist: Twisted Holography of Four-Dimensional $\mathcal{N}=2$ Orientifold Theories

We consider $\mathcal{N}=2$ superconformal gauge theories in four dimensions. We explain how these quiver gauge theories arise as low-energy worldvolume theories of D3-branes on orientifolds. Then, we examine their associated chiral algebras, and propose novel examples of twisted holographic dualities arising in the large-N limit. These dualities involve topological strings in the bulk, which is a Calabi-Yau threefold taking the form ${\text{SL}}_2\mathbb{C}\mathrm{/}\mathrm{\Gamma }$.