More on $\mathcal{N}=2$ S-folds

Abstract

We carry out a systematic study of 4d $\mathcal{N}=2$ preserving S-folds of F-theory 7-branes and the worldvolume theories on D3-branes probing them. They consist of two infinite series of theories, which we denote following the original papers by ${\mathcal{S}}_{G,\ell }^{(r)}$ for $\ell =2,3,4$ and ${\mathcal{T}}_{G,\ell }^{(r)}$ for $\ell =2,3,4,5,6$. Their distinction lies in the discrete torsion carried by the S-fold and in the difference in the asymptotic holonomy of the gauge bundle on the 7-brane. We study various properties of these theories, using diverse field theoretical and string theoretical methods.

47 pages, 13 figures and 6 tables, references added and minor changes