Abstract
S-folds are generalizations of orientifolds in type IIB string theory, such that the geometric identifications are accompanied by non-trivial S-duality transformations. They were recently used by García-Etxebarria and Regalado to provide the first construction of four dimensional \( \mathcal{N} \) =3 superconformal theories. In this note, we classify the different variants of these \( \mathcal{N} \) =3-preserving S-folds, distinguished by an analog of discrete torsion, using both a direct analysis of the different torsion classes and the compactification of the S-folds to three dimensional M-theory backgrounds. Upon adding D3-branes, these variants lead to different classes of \( \mathcal{N} \) =3 superconformal field theories. We also analyze the holographic duals of these theories, and in particular clarify the role of discrete gauge and global symmetries in holography.
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Aharony, O., Tachikawa, Y. S-folds and 4d \( \mathcal{N} \) = 3 superconformal field theories. J. High Energ. Phys. 2016, 44 (2016). https://doi.org/10.1007/JHEP06(2016)044
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DOI: https://doi.org/10.1007/JHEP06(2016)044