Kavli Affiliate: Yuji Tachikawa
| First 5 Authors: Ofer Aharony, Yuji Tachikawa, Kiyonori Gomi, ,
| Summary:
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.
In the main part of the paper, certain properties of cohomology groups
associated to the S-folds were conjectured and used. This arXiv version
includes an appendix written by Kiyonori Gomi in 2023 providing the proofs of
the required properties using the technique of Borel equivariant cohomology,
whose brief review is also provided.
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