More on N $$ \\mathcal{N} $$ =2 S-folds
Mario Martone, Yuji Tachikawa, Simone Giacomelli, Gabi Zafrir
Abstract
Abstract\n We carry out a systematic study of 4d $$ \\mathcal{N} $$\n N\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 [1, 2] by $$ {\\mathcal{S}}_{G,\\mathrm{\\ell}}^{(r)} $$\n \n S\n \n G\n ,\n ℓ\n \n \n r\n \n \n for ℓ = 2, 3, 4 and $$ {\\mathcal{T}}_{G,\\mathrm{\\ell}}^{(r)} $$\n \n T\n \n G\n ,\n ℓ\n \n \n r\n \n \n for ℓ = 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.