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arXiv · 1912.13491

On AdS$_7$ stability

Fabio Apruzzi·G. Bruno De Luca·Alessandra Gnecchi·Gabriele Lo Monaco·Alessandro Tomasiello
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Abstract

AdS$_7$ supersymmetric solutions in type IIA have been classified, and they are infinitely many. Moreover, every such solution has a non-supersymmetric sister. In this paper, we study the perturbative and non-perturbative stability of these non-supersymmetric solutions, focusing on cases without orientifolds. Perturbatively, we first look at the KK spectrum of spin-2 excitations. This does not exhibit instabilities, but it does show that there is no separation of scales for either the BPS and the non-BPS case, thus proving for supersymmetric AdS$_7$ a well-known recent conjecture. We then use 7d gauged supergravity and a brane polarization computation to access part of the spectrum of KK scalars. The result signals an instability for all non-supersymmetric solutions except those that have a single D8 on each side. We finally look at non-perturbative instabilities, and find that NS5 bubbles make these remaining solutions decay.

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Fabio Apruzzi, G. Bruno De Luca, Alessandra Gnecchi, Gabriele Lo Monaco, Alessandro Tomasiello. 2019-12-31. On AdS$_7$ stability. https://doi.org/10.1007/jhep07(2020)033

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