Superconformal interfaces from 5D N=4 gauged supergravity

Abstract

We find a large class of new supersymmetric Janus solutions from five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. The gauged supergravity admits four supersymmetric $AdS_5$ vacua, two $N=4$ with $SO(2)_D\times SO(3)\times SO(3)$ and $SO(2)_D\times SO(3)_{\textrm{diag}}$ symmetric $AdS_5$ vacua and two $N=2$ with $SO(2)_{\textrm{diag}}\times SO(3)$ and $SO(2)_{\textrm{diag}}$ symmetric ones. In a truncation to three vector multiplets, the gauge group is given by $SO(2)\times SO(3)\times SO(3)$, and the resulting gauged supergravity admits only two $N=4$ supersymmetric $AdS_5$ vacua with $SO(2)\times SO(3)\times SO(3)$ and $SO(2)\times SO(3)_{\textrm{diag}}$ residual symmetries. By considering the $SO(2)_{\textrm{diag}}$ invariant sector within this truncation, we find a number of supersymetric Janus interfaces between the two $N=4$ vacua on both sides as well as an RG-flow interface between $SO(2)\times SO(3)\times SO(3)$ and $SO(2)\times SO(3)_{\textrm{diag}}$ symmetric vacua on each side. By repeating the analysis in the full $SO(2)_D\times SO(3)\times SO(3)$ gauged supergravity, we find Janus solutions interpolating between the aforementioned four supersymmetric $AdS_5$ vacua as well as examples of multi-Janus interfaces between these vacua.