S-folds and 4d N=3 superconformal field theories

Ofer Aharony, Yuji Tachikawa

Research output: Contribution to journalArticlepeer-review


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 Garcia-Etxebarria and Regalado to provide the first construction of four dimensional N = 3 superconformal theories. In this note, we classify the different variants of these 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 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.

Original languageEnglish
Article number044
Number of pages26
JournalJournal of High Energy Physics
Issue number6
StatePublished - 8 Jun 2016


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