S-folds and (non-)supersymmetric Janus solutions

The S-fold description of Janus-type solutions of type IIB supergravity is investigated. This is done by first studying a \(\,\textrm{U}(1) \times \textrm{U}(1)\,\) invariant sector of the four-dimensional dyonically-gauged \(\,{[\,\textrm{SO}(1,1) \times \textrm{SO}(6)\,] \ltimes \mathbb{R}^{12}}\,\) maximal supergravity that arises upon reduction of type IIB supergravity on \(\,\mathbb{R} \, \times \, \textrm{S}^{5}\,\). Two AdS\(_{4}\) solutions preserving \(\,\textrm{SU}(3)\,\) and \(\,\textrm{SO}(6)\,\) 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 \(\,\textrm{AdS}_{4} \times \mathbb{R} \times \textrm{M}_{5}\,\). 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 \(\,\textrm{SU}(3)\,\) and \(\,\textrm{SU}(4)\,\) internal symmetry.