New supersymmetric Janus solutions from N=4 gauged supergravity

We study $N=4$ gauged supergravity with $SO(4)\times SO(4)$ gauge group in the presence of symplectic deformations and find new classes of Janus solutions preserving $N=1$ and $N=2$ supersymmetries. The $N=2$ solutions preserve $SO(2)\times SO(2)\times SO(2)\times SO(2)$ symmetry and interpolate between $N=4$ supersymmetric $AdS_4$ vacua with $SO(4)\times SO(4)$ symmetry. These correspond holographically to $N=(2,0)$ two-dimensional conformal defects within the dual $N=4$ CSM theories with $SO(4)\times SO(4)$ symmetry. The $N=1$ solutions contain two families of Janus configurations, one interpolating between $N=4$ $AdS_4$ vacua with $SO(4)\times SO(4)$ symmetry and the other interpolating between $N=4$ $AdS_4$ vacua with $SO(3)\times SO(3) \times SO(3)$ symmetry. These respectively describe $N=(1,0)$ conformal defects in $N=4$ CSM theories with $SO(4)\times SO(4)$ and $SO(3)\times SO(3) \times SO(3)$ symmetries. The latter give the first example of Janus solutions involving non-trivial $AdS_4$ vacua in addition to the trivial $SO(4)\times SO(4)$ critical point at the origin of the scalar manifold within the framework of $N=4$ gauged supergravity.