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

Yusuke Kimura

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arXiv · 2111.06761

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

Yusuke Kimura

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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.

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Yusuke Kimura. 2021-11-12. Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence. https://arxiv.org/abs/2111.06761

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