Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity

Guarino, Adolfo; Malek, Emanuel; Samtleben, Henning

doi:10.48550/arxiv.2011.06600

Cited by 13 publications

(40 citation statements)

References 25 publications

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“…For the SO(7) vacuum one can quickly confirm the expectation that a non-supersymmetric vacuum is unstable as this solution is already unstable against perturbations within the consistent truncation leading to four-dimensional maximal ISO (7) supergravity [17]. The non-supersymmetric G 2 invariant vacuum on the other hand is perturbatively stable against all 70 independent scalar fluctuations in the ISO( 7) theory and moreover it has recently been shown to remain perturbatively stable even when one considers the full KK spectrum of massive type IIA supergravity [26]. In addition, this vacuum can be shown [27] to be stable against possible brane-jet decays of the type discussed in [11].…”

Section: Susysupporting

confidence: 70%

“…Generalizations: In [26,32] six additional perturbatively and brane-jet stable AdS 4 vacua are described. These additional vacua fall outside the ansatz we describe in (3.1) or equivalently outside of the four-dimensional NK truncation.…”

Section: Discussionmentioning

confidence: 99%

“…While in [16] the perturbative instability of the SO(7) invariant vacuum was proven, the G 2 invariant one turned out to be tachyon free in four-dimensional supergravity. Recently, the latter was also shown to possess a tachyon-free KK spectrum [26] and to be protected [27] from the brane-jet decays that afflict other vacua with stable KK spectrum [11]. These results motivated our interest in the study of non-perturbative decay channels for this vacuum.…”

Section: Introductionmentioning

confidence: 94%

See 2 more Smart Citations

Bubble instability of mIIA on $\mathrm{AdS}_4\times S^6$

Bomans¹,

Dibitetto²,

Petri³

2021

Preprint

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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.

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Section: Susysupporting

confidence: 70%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 94%

See 1 more Smart Citation

Bubble instability of mIIA on $\mathrm{AdS}_4\times S^6$

Bomans¹,

Dibitetto²,

Petri³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Other pertubatively stable non-supersymmetric AdS vacua have already been found in other dimensions, for example in D = 4 and D = 7[28][29][30][31][32][33][34].…”

mentioning

confidence: 73%

Triality and the consistent reductions on ${\rm AdS}_3\times S^3$

Eloy,

Larios,

Samtleben

2021

Preprint

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We study compactifications on AdS 3 ×S 3 and deformations thereof. We exploit the triality symmetry of the underlying duality group SO(4,4) of three-dimensional supergravity in order to construct and relate new consistent truncations. For non-chiral D = 6, N 6d = (1, 1) supergravity, we find two different consistent truncations to three-dimensional supergravity, retaining different subsets of Kaluza-Klein modes, thereby offering access to different subsectors of the full nonlinear dynamics. As an application, we construct a two-parameter family of AdS 3 × M 3 backgrounds on squashed spheres preserving U(1) 2 isometries. For generic value of the parameters, these solutions break all supersymmetries, yet they remain perturbatively stable within a non-vanishing region in parameter space. They also contain a one-parameter family of N = (0, 4) supersymmetric AdS 3 × M 3 backgrounds on squashed spheres with U(2) isometries. Using techniques from exceptional field theory, we determine the full Kaluza-Klein spectrum around these backgrounds.

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“…See also [22]. In the end, among the non-supersymmetric AdS vacua which have been tested in the literature, only seven AdS 4 vacua of massive type IIA supergravity, [24,25,26], are proven to be both BF, [23], and brane-jet stable, [21]. In this paper, we search for BF and brane-jet stable non-supersymmetric AdS 4 vacua from M-theory.…”

Section: Introduction and Conclusionmentioning

confidence: 99%

Brane-jet stabilities from Janus and Sasaki-Einstein

Suh¹

2021

Preprint

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On a given arbitrary Sasaki-Einstein manifold, there is the Freund-Rubin solution which is supersymmetric AdS 4 solution of eleven-dimensional supergravity. There are also nonsupersymmetric solutions: the skew-whiffed Freund-Rubin, the Pope-Warner, and the Englert solutions. From particular Sasaki-Einstein manifolds of Q 1,1,1 and M 1,1,1 there are the non-supersymmetric AdS 4 solutions discovered by Cassani, Koerber and Varela. Among those, the skew-whiffed solutions and the solutions on Q 1,1,1 and M 1,1,1 are known to be perturbatively stable, i.e, masses are above the Breitenlohner-Freedman (BF) bound. In this paper, we examine a new decay channel known as the brane-jet instability. It turns out that all AdS 4 solutions we consider are brane-jet stable. Hence, the skew-whiffed solutions and the solutions on Q 1,1,1 and M 1,1,1 are both BF and brane-jet stable.

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Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity

Cited by 13 publications

References 25 publications

Bubble instability of mIIA on $\mathrm{AdS}_4\times S^6$

Bubble instability of mIIA on $\mathrm{AdS}_4\times S^6$

Triality and the consistent reductions on ${\rm AdS}_3\times S^3$

Brane-jet stabilities from Janus and Sasaki-Einstein

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