Janus and Hades in M-theory

Abstract

Multi-parametric and analytic families of four-dimensional ${\text{AdS}}_3\times \mathbb{R}$ (Janus) and ${\text{AdS}}_3\times {\mathbb{R}}^{+}$ (Hades) solutions are constructed in the SO(8) gauged supergravity that arises from the consistent reduction of eleven-dimensional supergravity on ${\text{S}}^7$. The solutions are generically non-supersymmetric, involve non-trivial running scalars and preserve a $\text{U}(1{)}^4$ 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 $\text{SU}(3)\times \text{U}(1{)}^2$ 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.

33 pages, 8 figures. v2: minor corrections, references added, published version