Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence

Abstract

We study AdS duals of four-dimensional (4D) $\mathcal{N}=1$ superconformal field theories (SCFTs) on ${\mathbb{Z}}_k$ S-folds with T-branes that flow to 4D $\mathcal{N}=3$ theories. In a previous study, it was discussed how considering T-brane structure breaks the $\mathcal{N}=2$ supersymmetry in 4D SCFTs on ${\mathbb{Z}}_k$ S-folds down to $\mathcal{N}=1$. In this study, we analyze this effect from the AdS perspective. We also discuss the constructions of 4D $\mathcal{N}=1$ SCFTs on S-folds with T-branes starting from global K3 hypersurfaces whose fibers involve complex multiplications. We choose an approach to directly analyze the global K3 geometry without relying on the standard Weierstrass technique.

22 pages

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