Supersymmetry Enhancement and Junctions in S-folds

Abstract

We study supersymmetry enhancement from $\mathcal{N}=3$ to $\mathcal{N}=4$ proposed by Aharony and Tachikawa by using string junctions in S-folds. The central charges carried by junctions play a central role in our analysis. We consider planer junctions in a specific plane. Before the S-folding they carry two complex central charges, which we denote by $Z$ and $\bar{Z}$. The S-fold projection eliminates $\bar{Z}$ as well as one of the four supercharges, and when the supersymmetry is enhanced $\bar{Z}$ should be reproduced by some non-perturbative mechanism. For the models of ${\mathbb{Z}}_3$ and ${\mathbb{Z}}_4$ S-folds which are expected to give $SU(3)$ and $SO(5)$ $\mathcal{N}=4$ theories we compare the junction spectra with those in perturbative brane realization of the same theories. We establish one-to-one correspondence so that $Z$ coincides. By using the correspondence we also give an expression for the enhanced central charge $\bar{Z}$.

30 pages, 7 figures, v2: minor corrections, version accepted for publication in JHEP

Cited by in corpus (6)

• Bootstrapping $\mathcal{N}=3$ superconformal theories
• Long Multiplet Bootstrap
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• 4d $\mathcal{N}=3$ indices via discrete gauging
• Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV