AdS7 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 AdS7 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.

Fabio Apruzzi, G. Bruno De Luca, Alessandra Gnecchi, Gabriele Lo Monaco, Alessandro Tomasiello (2020). On AdS7 stability. JOURNAL OF HIGH ENERGY PHYSICS, 2020(7) [10.1007/jhep07(2020)033].

On AdS7 stability

Gabriele Lo Monaco;
2020-07-06

Abstract

AdS7 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 AdS7 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.
6-lug-2020
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
Fabio Apruzzi, G. Bruno De Luca, Alessandra Gnecchi, Gabriele Lo Monaco, Alessandro Tomasiello (2020). On AdS7 stability. JOURNAL OF HIGH ENERGY PHYSICS, 2020(7) [10.1007/jhep07(2020)033].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/584991
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