Supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity

Abstract

We construct supersymmetric Janus solutions using four-dimensional $N=3$ gauged supergravity with $SO(3)\times SU(3)$ gauge group. The $N=3$ supersymmetric $AdS_4$ vacuum with unbroken $SO(3)\times SU(3)$, identified with the compactification of eleven-dimensional supergravity on $AdS_4\times N^{010}$, provides a gravity dual of supersymmetric $N=3$ Chern-Simons-Matter theory in three dimensions with $SU(3)$ flavor symmetry. The Janus solutions accordingly describe supersymmetric conformal interfaces within this Chern-Simons-Matter theory via the AdS/CFT holography. We find two classes of Janus solutions preserving respectively $(2,1)$ and $(0,1)$ supersymmetry on the $(1+1)$-dimensional conformal defects. The solution with $(2,1)$ supersymmetry preserves $SO(2)\times SO(2)\times SO(2)\subset SO(3)\times SU(3)$ symmetry while the $(0,1)$ supersymmetric solution is invariant under a larger $SO(2)\times SU(2)\times SO(2)$ symmetry.