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

TL;DR

This paper explores the AdS duals of 4D $ =1$ SCFTs on S-folds with T-branes, analyzing their geometric origins and supersymmetry breaking from both field theory and AdS perspectives.

Contribution

It provides a new geometric construction of 4D $ =1$ SCFTs on S-folds with T-branes using global K3 hypersurfaces, bypassing traditional Weierstrass methods.

Findings

T-branes break $ =2$ to $ =1$ supersymmetry in S-fold SCFTs.

Constructs 4D $ =1$ SCFTs from global K3 geometries with complex multiplication.

Analyzes the AdS duals and supersymmetry breaking effects from geometric and holographic viewpoints.

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.