A new family of $AdS_4$ S-folds in type IIB string theory

TL;DR

This paper constructs new supersymmetric $AdS_4$ S-fold solutions in type IIB string theory with non-trivial monodromy, extending the landscape of holographic duals to $ ext{SCFT}_3$ and connecting to Janus solutions.

Contribution

It introduces a new family of $AdS_4$ S-fold solutions with $SL(2, ext{Z})$ monodromy, derived from $D=5$ gauged supergravity and uplifted to $D=10$, expanding known supersymmetric backgrounds.

Findings

Constructed infinite classes of $AdS_4\times S^1\times S^5$ solutions with $SL(2,\mathbb{Z})$ monodromy.

Recovered known S-fold solutions with various supersymmetries ($\mathcal{N}=1,2,4$).

Presented novel non-singular 'one-sided Janus' solutions.

Abstract

We construct infinite new classes of $AdS_4\times S^1\times S^5$ solutions of type IIB string theory which have non-trivial $SL(2,\mathbb{Z})$ monodromy along the $S^1$ direction. The solutions are supersymmetric and holographically dual, generically, to $\mathcal{N}=1$ SCFTs in $d=3$. The solutions are first constructed as $AdS_4\times \mathbb{R}$ solutions in $D=5$ $SO(6)$ gauged supergravity and then uplifted to $D=10$. Unlike the known $AdS_4\times \mathbb{R}$ S-fold solutions, there is no continuous symmetry associated with the $\mathbb{R}$ direction. The solutions all arise as limiting cases of Janus solutions of $d=4$, $\mathcal{N}=4$ SYM theory which are supported both by a different value of the coupling constant on either side of the interface, as well as by fermion and boson mass deformations. As special cases, the construction recovers three known S-fold constructions, preserving $\mathcal{N}=1,2$ and 4 supersymmetry, as well as a recently constructed $\mathcal{N}=1$ $AdS_4\times S^1\times S^5$ solution (not S-folded). We also present some novel "one-sided Janus" solutions that are non-singular.