New supersymmetric Janus solutions from N=4 gauged supergravity

TL;DR

This paper constructs new supersymmetric Janus solutions in N=4 gauged supergravity, revealing novel holographic duals to conformal defects in N=4 Chern-Simons-matter theories with specific symmetry properties.

Contribution

It introduces new classes of Janus solutions with N=1 and N=2 supersymmetry, including the first examples involving non-trivial AdS4 vacua in N=4 gauged supergravity.

Findings

N=2 solutions interpolate between N=4 AdS4 vacua with SO(4)×SO(4) symmetry.

N=1 solutions include two families of Janus configurations with different symmetry breakings.

First Janus solutions involving non-trivial AdS4 vacua beyond the trivial critical point.

Abstract

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.