Brane-jet stabilities from Janus and Sasaki-Einstein

TL;DR

This paper demonstrates that certain non-supersymmetric AdS vacua are stable under brane-jet analysis, extending stability considerations to curved domain wall solutions like Janus and various Sasaki-Einstein compactifications.

Contribution

It extends brane-jet stability analysis to non-supersymmetric AdS vacua from Janus solutions and Sasaki-Einstein manifolds, showing their stability.

Findings

All considered AdS vacua are brane-jet stable.

Janus and skew-whiffed Freund-Rubin vacua are perturbatively and brane-jet stable.

Stability holds within known truncation subsectors.

Abstract

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.