Supersymmetric Janus solutions in $\omega$-deformed N=8 gauged supergravity

Abstract

We give a large class of supersymmetric Janus solutions in $\omega$-deformed (dyonic) $SO(8)$ maximal gauged supergravity with $\omega =\frac{\pi }{8}$. Unlike the purely electric counterpart, the dyonic $SO(8)$ gauged supergravity exhibits a richer structure of $Ad{S}_4$ vacua with $N=8,2,1,1$ supersymmetries and $SO(8)$, $U(3)$, $G_2$ and $SU(3)$ symmetries, respectively. Similarly, domain walls interpolating among these critical points show a very rich structure as well. In this paper, we show that this gauged supergravity also accommodates a number of interesting supersymmetric Janus solutions in the form of $Ad{S}_3$-sliced domain walls asymptotically interpolating between the aforementioned $Ad{S}_4$ geometries. These solutions could be holographically interpreted as two-dimensional conformal defects within the superconformal field theories (SCFTs) of ABJM type dual to the $Ad{S}_4$ vacua. We also give a class of solutions interpolating among the $SO(8)$, $G_2$ and $U(3)$ $Ad{S}_4$ vacua in the case of $\omega =0$ which have not previously appeared in the presently known Janus solutions of electric $SO(8)$ gauged supergravity.

29 pages, 16 figures, more solutions and some clarification added, presentation improved