S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs

Abstract

S-folds are a non-perturbative generalization of orientifold 3-planes which figure prominently in the construction of 4D $\mathcal{N}=3$ SCFTs and have also recently been used to realize examples of 4D $\mathcal{N}=2$ SCFTs. In this paper we develop a general procedure for reading off the flavor symmetry experienced by D3-branes probing 7-branes in the presence of an S-fold. We develop an S-fold generalization of orientifold projection which applies to non-perturbative string junctions. This procedure leads to a different 4D flavor symmetry algebra depending on whether the S-fold supports discrete torsion. We also show that this same procedure allows us to read off admissible representations of the flavor symmetry in the associated 4D $\mathcal{N}=2$ SCFTs. Furthermore this provides a prescription for how to define F-theory in the presence of S-folds with discrete torsion.

49 pages, 9 figures

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• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
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• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
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