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

Bomans, Pieter; Dibitetto, Giuseppe; Petri, Nicolò

doi:10.48550/arxiv.2110.08276

Cited by 5 publications

(10 citation statements)

References 33 publications

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“…Any possible decay of our vacua must therefore be necessarily through a non-pertubative channel, such as brane-jet instabilities [38,39] or bubble nucleations (see e.g. [40][41][42][43]). These possible decay mechanisms will have to deal with the presence of the N = (0, 4) vacua continuously connected to the non-supersymmetric family (4.23).…”

Section: Further Discussionmentioning

confidence: 99%

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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Section: Further Discussionmentioning

confidence: 99%

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

Eloy,

Larios,

Samtleben

2021

Preprint

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“…Still, our vacua could decay semi-classically via more complicated bubbles of nothing containing defects, e.g. a D3-brane in S 5 similar to [38,39] or an O7-plane in S 1 [40]. However, because the volume form of the compactification is independent of the χ i deformations, our non-supersymmetric AdS 4 vacua are likely to be stable against the instanton decay constructed in [39], which is delocalised on the compactification space.…”

mentioning

confidence: 96%

“…a D3-brane in S 5 similar to [38,39] or an O7-plane in S 1 [40]. However, because the volume form of the compactification is independent of the χ i deformations, our non-supersymmetric AdS 4 vacua are likely to be stable against the instanton decay constructed in [39], which is delocalised on the compactification space. On the other hand, constructing the localised instanton solutions is extremely technically challenging.…”

mentioning

confidence: 97%

“…On the other hand, constructing the localised instanton solutions is extremely technically challenging. Moreover, the mechanism of [39] treats a shrinking dilaton as equivalent to a shrinking S 1 . Aside from the validity of this equivalence, a similar shrinking dilaton would be problematic for our S-fold vacua, where the dilaton is not well-defined due to the SL(2, Z) monodromy along S 1 η .…”

mentioning

confidence: 99%

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Holographic Evidence for Non-Supersymmetric Conformal Manifolds

Giambrone,

Guarino,

Malek

et al. 2021

Preprint

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We provide the first holographic evidence for the existence of a non-supersymmetric conformal manifold arising from exactly marginal but supersymmetry-breaking deformations of a superconformal field theory. In particular, we construct a 2-parameter non-supersymmetric deformation of a supersymmetric AdS vacuum in Type IIB string theory. We prove that the non-supersymmetric vacua are perturbatively stable and also do not suffer from various non-perturbative instabilities. Finally, we argue that diffeomorphism symmetry protects our vacua against higher-derivative string corrections.

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“…Recently, in[27] so-called dilaton bubble solution was explicitly constructed for the G 2 -symmetric vacuum which is one of the seven AdS 4 vacua of massive type IIA supergravity known to be BF and brane-jet stable.…”

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

Cited by 5 publications

References 33 publications

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

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

Holographic Evidence for Non-Supersymmetric Conformal Manifolds

Brane-jet stabilities from Janus and Sasaki-Einstein

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