Non-supersymmetric AdS$_6$ and the swampland

Apruzzi, Fabio; De Luca, G. Bruno; Monaco, Gabriele Lo; Uhlemann, Christoph F.

doi:10.48550/arxiv.2110.03003

Cited by 4 publications

(4 citation statements)

References 67 publications

(132 reference statements)

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“…In close relation to the approaches we mentioned, the brane-jet instabilities of numerous AdS vacua from gauged supergravity in diverse dimensions have been tested, [16,20,21]. 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].…”

Section: Introduction and Conclusionmentioning

confidence: 73%

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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Section: Introduction and Conclusionmentioning

confidence: 73%

Brane-jet stabilities from Janus and Sasaki-Einstein

Suh¹

2021

Preprint

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“…The property of the X 1,N theory may be shared by other systems, some of which could also admit an holographic dual description. While no fully stable non-supersymmetric AdS 6 backgrounds are known (see [86][87][88][89] for recent works addressing this point), this is yet an interesting and potentially far reaching direction to be pursued.…”

Section: Discussionmentioning

confidence: 99%

On non-supersymmetric fixed points in five dimensions

Bertolini¹,

Mignosa²,

Muiden³

2022

Preprint

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We generalize recent results regarding the phase space of the mass deformed E 1 fixed point to a full class of five-dimensional superconformal field theories, known as X 1,N . As in the E 1 case, a phase transition occurs as a supersymmetry preserving and a supersymmetry breaking mass deformations are appropriately tuned. The order of such phase transition could not be unequivocally determined in the E 1 case. For X 1,N , instead, we can show that at large N there exists a regime where the phase transition is second order. Our findings give supporting evidence for the existence of non-supersymmetric fixed points in five dimensions.

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“…Recent studies of non-perturbative instabilities of concrete AdS solutions to higher-dimensional supergravity can be found e.g. in [10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

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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Non-supersymmetric AdS$_6$ and the swampland

Cited by 4 publications

References 67 publications

Brane-jet stabilities from Janus and Sasaki-Einstein

Brane-jet stabilities from Janus and Sasaki-Einstein

On non-supersymmetric fixed points in five dimensions

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

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