Bubble instabilities of mIIA on AdS$_4\times S^6$

Bomans, Pieter; Cassani, Davide; Dibitetto, Giuseppe; Petri, Nicolò

doi:10.21468/SciPostPhys.12.3.099

SciPost Physics

Bubble instabilities of mIIA on AdS$_4\times S^6$

Pieter Bomans, Davide Cassani, Giuseppe Dibitetto, Nicolò Petri

SciPost Phys. 12, 099 (2022) · published 18 March 2022

doi: 10.21468/SciPostPhys.12.3.099
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Abstract

We consider compactifications of massive IIA supergravity on a six-sphere. This setup is known to give rise to non-supersymmetric AdS$_4$ vacua preserving SO$(7)$ as well as G$_2$ residual symmetry. Both solutions have a round $S^6$ metric and are supported by the Romans’ mass and internal $F_6$ flux. While the SO$(7)$ invariant vacuum is known to be perturbatively unstable, the G$_2$ invariant one has been found to have a fully stable Kaluza-Klein spectrum. Moreover, it has been shown to be protected against brane-jet instabilities. Motivated by these results, we study possible bubbling solutions connected to the G$_2$ vacuum, representing non-perturbative instabilities of the latter. We indeed find an instability channel represented by the nucleation of a bubble of nothing dressed up with a homogeneous D2 brane charge distribution in the internal space. Our solution generalizes to the case where $S^6$ is replaced by any six-dimensional nearly-Kähler manifold.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.3.099
TI  - Bubble instabilities of mIIA on AdS$_4\times S^6$
PY  - 2022/03/18
UR  - https://www.scipost.org/SciPostPhys.12.3.099
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 3
SP  - 099
A1  - Bomans, Pieter
AU  - Cassani, Davide
AU  - Dibitetto, Giuseppe
AU  - Petri, Nicolò
AB  - We consider compactifications of massive IIA supergravity on a six-sphere. This setup is known to give rise to non-supersymmetric AdS$_4$ vacua preserving SO$(7)$ as well as G$_2$ residual symmetry. Both solutions have a round $S^6$ metric and are supported by the Romans’ mass and internal $F_6$ flux. While the SO$(7)$ invariant vacuum is known to be perturbatively unstable, the G$_2$ invariant one has been found to have a fully stable Kaluza-Klein spectrum. Moreover, it has been shown to be protected against brane-jet instabilities. Motivated by these results, we study possible bubbling solutions connected to the G$_2$ vacuum, representing non-perturbative instabilities of the latter. We indeed find an instability channel represented by the nucleation of a bubble of nothing dressed up with a homogeneous D2 brane charge distribution in the internal space. Our solution generalizes to the case where $S^6$ is replaced by any six-dimensional nearly-Kähler manifold.
ER  -

@Article{10.21468/SciPostPhys.12.3.099,
	title={{Bubble instabilities of mIIA on AdS$_4\times S^6$}},
	author={Pieter Bomans and Davide Cassani and Giuseppe Dibitetto and Nicolò Petri},
	journal={SciPost Phys.},
	volume={12},
	pages={099},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.3.099},
	url={https://scipost.org/10.21468/SciPostPhys.12.3.099},
}

Cited by 12

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¹ ² ³ Pieter Bomans,
³ Davide Cassani,
² ³ Giuseppe Dibitetto,
⁴ Nicolò Petri

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