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Bubble instabilities of mIIA on AdS$_4\times S^7$

by Pieter Bomans, Davide Cassani, Giuseppe Dibitetto and Nicolò Petri

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Submission summary

Authors (as registered SciPost users): Pieter Bomans · Davide Cassani
Submission information
Preprint Link: scipost_202111_00014v2  (pdf)
Date accepted: 2022-02-28
Date submitted: 2022-02-10 09:19
Submitted by: Bomans, Pieter
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

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.

Published as SciPost Phys. 12, 099 (2022)

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