Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$

In this paper, we continue the study of Janus and RG-flow interfaces in three dimensional supergravity continuing the work presented in [1]. We consider ${\cal N}=8$ gauged supergravity theories which have a ${\cal N}=(4,4)$ $AdS_3$ vacuum with $D^1(2,1;\alpha) \times D^1(2,1;\alpha)$ symmetry for general $\alpha$. We derive the BPS flow equations and find numerical solutions. Some holographic quantities such as the entanglement entropy are calculated.