Multi-parametric and analytic families of four-dimensional AdS 3 × R (Janus) and AdS 3 × R + (Hades) solutions are constructed in the SO(8) gauged supergravity that arises from the consistent reduction of eleven-dimensional supergravity on S 7 . The solutions are generically non-supersymmetric, involve non-trivial running scalars and preserve a U(1) 4 symmetry. Different patterns of (super) symmetry enhancement occur upon suitable adjustment of the free parameters which further control the boundary conditions of the running scalars. We concentrate on the non-supersymmetric Janus and Hades solutions with SU(3) × U(1) 2 symmetry and provide their higher-dimensional description in terms of M-theory fluxes and membranes. Special attention is paid to a class of such Hades solutions dubbed "ridge flows" which resemble dielectric rotations of Coulomb branch flows previously investigated in the literature.

We use holography and four-dimensional $$ \mathcal{N} $$ N = 4 gauged supergravity to collect evidence for a large class of interconnected three-dimensional $$ \mathcal{N} $$ N = 2 conformal field theories. On the gravity side, we construct a one-parameter family of ISO(3) × ISO(3) gaugings of half-maximal supergravity containing a rich structure of $$ \mathcal{N} $$ N = 2 AdS4 solutions at fixed radius. By looking at excitations around these AdS4 solutions, the spectrum of low lying operators in the dual $$ \mathcal{N} $$ N = 2 CFT3’s is computed and further arranged into 𝔬𝔰(2|4) supermultiplets. Upon suitable removal of gauge redundancies, we identify the Zamolodchikov metric on the conformal manifold dual to the AdS4 moduli space, and recover previous results in the S-fold literature. Two special points of $$ \mathcal{N} $$ N = 4 supersymmetry enhancement occur. While one describes an S-fold CFT3 dual to a non-geometric type IIB twisted compactification, the string-theoretic realisation of the other, if any, is still lacking.

Multi-parametric and analytic families of four-dimensional AdS3 × ℝ (Janus) and AdS3 × ℝ+ (Hades) solutions are constructed in the SO(8) gauged supergravity that arises from the consistent reduction of eleven-dimensional supergravity on S7 . The solutions are generically non-supersymmetric, involve non-trivial running scalars and preserve a U(1)4 symmetry. Different patterns of (super) symmetry enhancement occur upon suitable adjustment of the free parameters which further control the boundary conditions of the running scalars. We concentrate on the non-supersymmetric Janus and Hades solutions with SU(3) × U(1)2 symmetry and provide their higher-dimensional description in terms of M-theory fluxes and membranes. Special attention is paid to a class of such Hades solutions dubbed “ridge flows” which resemble dielectric rotations of Coulomb branch flows previously investigated in the literature.