S-folds and (non-)supersymmetric Janus solutions

Abstract

The S-fold description of Janus-type solutions of type IIB supergravity is investigated. This is done by first studying a $\text{U}(1)\times \text{U}(1)$ invariant sector of the four-dimensional dyonically-gauged $[\text{SO}(1,1)\times \text{SO}(6)]⋉{\mathbb{R}}^{12}$ maximal supergravity that arises upon reduction of type IIB supergravity on $\mathbb{R}\times {\text{S}}^5$. Two AdS${}_4$ solutions preserving $\text{SU}(3)$ and $\text{SO}(6)$ gauge symmetry together with $\mathcal{N}=1$ and $\mathcal{N}=0$ supersymmetry are found within this sector. Fetching techniques from the E${}_{7(7)}$ exceptional field theory, these solutions are uplifted to ten-dimensional S-folds of type IIB Janus-type solutions of the form ${\text{AdS}}_4\times \mathbb{R}\times {\text{M}}_5$. The solutions presented here are natural candidates for the holographic duals of three-dimensional $\mathcal{N}=1$ and $\mathcal{N}=0$ interface super-Yang--Mills theories with $\text{SU}(3)$ and $\text{SU}(4)$ internal symmetry.

27 pages, 1 table. v2: minor corrections, typos fixed and new section added with a summary of results. To appear in JHEP