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.
Cited by 17
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Pieter Bomans,
- 3 Davide Cassani,
- 2 3 Giuseppe Dibitetto,
- 4 Nicolò Petri
- 1 Princeton University
- 2 Università degli Studi di Padova / University of Padua [UNIPD]
- 3 INFN Sezione di Padova / INFN Padova Division [INFN Padova]
- 4 Universidad de Oviedo / University of Oviedo