Brane-jet stabilities from Janus and Sasaki-Einstein

We show that there are certain perturbatively stable non-supersymmetric $AdS$ vacua which are also brane-jet stable. Also we extend the analysis of brane-jets to the $AdS$ vacua from curved domain walls like Janus solutions. First, we apply the brane-jet analysis to the non-supersymmetric Janus solutions of type IIB supergravity found by Bak, Gutperle and Hirano. Second, we study the brane-jet of $AdS_4$ vacua from eleven-dimensional supergravity on Sasaki-Einstein manifolds: the supersymmetric and the skew-whiffed Freund-Rubin, the Pope-Warner, and the Englert solutions. Third, we examine the non-supersymmetric $AdS_4$ vacua from $Q^{1,1,1}$ and $M^{1,1,1}$ manifolds discovered by Cassani, Koerber and Varela. It turns out that all the $AdS$ vacua we consider in this work are brane-jet stable. Especially, the Janus, the skew-whipped Freund-Rubin, and the $AdS_4$ vacua from $Q^{1,1,1}$ and $M^{1,1,1}$ are perturbatively stable within known subsectors of truncations and also brane-jet stable.