Multi-parametric families of AdS 4 vacua with various amounts of supersymmetry and residual gauge symmetry are found in the [SO(1, 1) × SO(6)] ⋉ R 12 maximal supergravity that arises from the reduction of type IIB supergravity on R × S 5 . These provide natural candidates to holographically describe new strongly coupled three-dimensional CFT's which are localised on interfaces of N = 4 super-Yang-Mills theory. One such AdS 4 vacua features a symmetry enhancement to SU(2) × U(1) while preserving N = 2 supersymmetry. Fetching techniques from the E 7(7) exceptional field theory, its uplift to a class of N = 2 S-folds of type IIB supergravity of the form AdS 4 × S 1 × S 5 involving S-duality twists of hyperbolic type along S 1 is presented.
The S-fold description of Janus-type solutions of type IIB supergravity is investigated. This is done by first studying a U(1) × U(1) invariant sector of the four-dimensional dyonically-gauged [ SO(1, 1) × SO(6) ] ⋉ R 12 maximal supergravity that arises upon reduction of type IIB supergravity on R × S 5 . Two AdS 4 solutions preserving SU(3) and SO(6) gauge symmetry together with N = 1 and 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 AdS 4 × R × M 5 . The solutions presented here are natural candidates for the holographic duals of three-dimensional N = 1 and N = 0 interface super-Yang-Mills theories with SU(3) and SU(4) internal symmetry.
Type IIB S-folds of the form AdS4 × S1 × S5 are conjectured to correspond to new strongly coupled three-dimensional CFT’s on a localised interface of SYM4. In this work we construct holographic RG flows on the D3-brane that generically connect anisotropic deformations of SYM4 in the UV to various S-fold CFT’s in the IR with different amounts of supersymmetry and flavour symmetries. Examples of holographic RG flows between S-fold CFT’s are also presented. Lastly a geometric interpretation of axion deformations is provided in terms of monodromies on the internal S5 when moving around the S1. Special attention is paid to the monodromy-induced patterns of symmetry breaking as classified by the mapping torus Th(S5).
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