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S-folds and (non-)supersymmetric Janus solutions. (English) Zbl 1431.83179

Summary: The S-fold description of Janus-type solutions of type IIB supergravity is investigated. This is done by first studying a \(\mathrm{U}(1) \times \mathrm{U}(1)\) invariant sector of the four-dimensional dyonically-gauged \([\mathrm{SO}(1,1) \times \mathrm{SO}(6)] \ltimes \mathbb{R}^{12}\) maximal supergravity that arises upon reduction of type IIB supergravity on \(\mathbb{R} \times S^5\). Two \(\mathrm{AdS}_4\) solutions preserving SU(3) and SO(6) gauge symmetry together with \(\mathcal{N} = 1\) and \(\mathcal{N} = 0\) supersymmetry are found within this sector. Fetching techniques from the \(\mathrm{E}_{7(7)}\) exceptional field theory, these solutions are uplifted to ten-dimensional S-folds of type IIB Janus-type solutions of the form \(\mathrm{AdS}_4 \times \mathbb{R} \times M_5\). 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 SU(3) and SU(4) internal symmetry.

MSC:

83E50 Supergravity
81T60 Supersymmetric field theories in quantum mechanics
83C15 Exact solutions to problems in general relativity and gravitational theory
81T13 Yang-Mills and other gauge theories in quantum field theory
83E05 Geometrodynamics and the holographic principle

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