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

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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 4 vacua preserving \mathrm{SO}(7) S O ( 7 ) as well as G _2 2 residual symmetry. Both solutions have a round S^6 S 6 metric and are supported by the Romans’ mass and internal F_{6} F 6 flux. While the \mathrm{SO}(7) S O ( 7 ) invariant vacuum is known to be perturbatively unstable, the G _2 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 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 S 6 is replaced by any six-dimensional nearly-K"ahler manifold.
Funding Information
  • Belgian American Educational Foundation
  • Fulbright Association
  • Gobierno del Principado de Asturias (FC-GRUPIN-IDI/2018/000174)

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