We classify the non-supersymmetric, and perturbatively stable within $D=4$, AdS vacua of maximal $D=4$ supergravity with a dyonic ISO(7) gauging in a large sector of the supergravity. Seven such vacua are established within this sector, all of them giving rise to non-supersymmetric $\textrm{AdS}_{4} \times \textrm{S}^{6}$ type IIA backgrounds with and without non-trivial warpings and with internal fluxes. Then, we analyse the dynamics of various probe D$p$-branes in these backgrounds searching for potential brane-jet instabilities. In all these cases, such instabilities are absent. Finally, an alternative decay channel through tunnelling is investigated, focusing on one of the seven backgrounds. We do not find instabilities either, but the analysis remains inconclusive.

中文翻译：

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非超对称 AdS 真空的膜射流稳定性

我们将非超对称和微扰稳定在 $D=4$、最大 $D=4$ 超重力的 AdS 真空中进行分类，在超重力的一个大扇区中使用动态 ISO(7) 测量。在这个扇区内建立了七个这样的真空，所有这些都产生了非超对称 $\textrm{AdS}_{4} \times \textrm{S}^{6}$ 类型的 IIA 背景，有和没有非平凡的翘曲和内部通量。然后，我们分析了这些背景下各种探针 D$p$-膜的动力学，寻找潜在的膜喷射不稳定性。在所有这些情况下，都不存在这种不稳定性。最后，研究了通过隧道的替代衰减通道，重点是七个背景之一。我们也没有发现不稳定性，但分析仍然没有定论。