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

TL;DR

This paper explores twisted holographic dualities for four-dimensional $ abla=2$ superconformal gauge theories, revealing new connections between D3-branes, orientifolds, and topological strings in Calabi-Yau spaces.

Contribution

It introduces novel twisted holographic dualities involving topological strings and chiral algebras for $ abla=2$ superconformal theories derived from D3-branes on orientifolds.

Findings

Identification of chiral algebras associated with these gauge theories

Proposal of new holographic dualities involving Calabi-Yau threefolds

Analysis of large-N limit leading to topological string descriptions

Abstract

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 $\text{SL}_2 \mathbb{C} / \Gamma$.