论文标题

S折,字符串连接和4D $ \ MATHCAL {N} = 2 $ scfts

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

论文作者

Heckman, Jonathan J., Lawrie, Craig, Rochais, Thomas B., Zhang, Hao Y., Zoccarato, Gianluca

论文摘要

S折是对东方3型平面的非扰动概括,在4D $ \ Mathcal {n} = 3 $ scfts的构建方面显着地说明了这一点,并且最近也被用来实现4D $ \ MATHCAL {N} = 2 $ scfts的示例。在本文中,我们开发了一种一般程序,以读取在存在S倍的情况下D3-branes探测7型烤的D3-branes经历的风味对称性。我们开发了适用于非扰动弦连接的方向投影的S折概括。此过程会导致不同的4D风味对称代数,具体取决于S折支持离散扭转。我们还表明,相同的过程使我们能够阅读相关的4D $ \ MATHCAL {N} = 2 $ scfts中风味对称性的可允许表示形式。此外,这提供了如何在存在离散扭转的S折中定义F理论的处方。

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.

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