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

TL;DR

This paper constructs a variety of supersymmetric Janus solutions in a specific dyonic $SO(8)$ gauged supergravity, revealing a richer structure of vacua and domain walls, with potential holographic applications to defect conformal field theories.

Contribution

It introduces new supersymmetric Janus solutions in $ ext{ω}$-deformed $SO(8)$ supergravity, including cases not previously studied, expanding the landscape of known holographic duals.

Findings

Discovery of Janus solutions interpolating between multiple $AdS_4$ vacua.

Identification of solutions with various supersymmetries and symmetries.

New solutions in the $ ext{ω}=0$ case not previously known.

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 $AdS_4$ 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 $AdS_3$-sliced domain walls asymptotically interpolating between the aforementioned $AdS_4$ geometries. These solutions could be holographically interpreted as two-dimensional conformal defects within the superconformal field theories (SCFTs) of ABJM type dual to the $AdS_4$ vacua. We also give a class of solutions interpolating among the $SO(8)$, $G_2$ and $U(3)$ $AdS_4$ vacua in the case of $\omega=0$ which have not previously appeared in the presently known Janus solutions of electric $SO(8)$ gauged supergravity.