Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV

TL;DR

This paper explores how S-fold constraints influence T-brane configurations in 4d $N=1$ SCFTs derived from 4d $N=2$ theories, revealing geometric restrictions and IR/UV behavior similarities.

Contribution

It introduces geometric constraints on T-branes imposed by S-fold structures and analyzes the IR and UV behaviors of related 4d $N=1$ theories.

Findings

S-fold structures constrain T-brane configurations and monodromies.

Two different UV theories can flow to the same IR theory.

Global geometric analysis aids in constructing dual theories.

Abstract

We analyze four-dimensional (4d) $N=1$ superconformal field theories (SCFTs) obtained as deformations of 4d $N=2$ SCFTs on S-folds by tilting 7-branes. Geometric compatibility with the structures of S-folds constrains the forms of T-branes. As a result, brane monodromies are constrained. We also discuss two 4d $N=1$ theories on probe D3-branes, where the two theories behave identically in IR, but they originate from different theories in UV. Studying the global structure of their geometry is useful in constructing these two theories.