We carry out a systematic study of 4d N $$ \mathcal{N} $$ = 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 [1, 2] by S G , ℓ r $$ {\mathcal{S}}_{G,\mathrm{\ell}}^{(r)} $$ for ℓ = 2 , 3 , 4 and T G , ℓ r $$ {\mathcal{T}}_{G,\mathrm{\ell}}^{(r)} $$ 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.

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更多关于 $$ \mathcal{N} $$ =2 S-folds

我们对 4d N $$ \mathcal{N} $$ = 2 保留 F-theory 7-brane 的 S-folds 和探索它们的 D3-brane 的世界体积理论进行了系统研究。它们由两个无限系列的理论组成，我们在 [1, 2] 之后用 SG 表示，ℓ r $$ {\mathcal{S}}_{G,\mathrm{\ell}}^{(r)} $ ℓ = 2 , 3 , 4 和 TG , ℓ r $$ {\mathcal{T}}_{G,\mathrm{\ell}}^{(r)} $$ ℓ = 2 , 3 , 4 , 5 , 6. 它们的区别在于 S 折叠所携带的离散扭转和 7 膜上规范丛的渐近完整性的差异。我们使用不同的场理论和弦理论方法研究这些理论的各种性质。