On the stability of non-supersymmetric AdS vacua

Narayan, Prithvi; Trivedi, Sandip P.

doi:10.1007/jhep07(2010)089

Cited by 50 publications

(105 citation statements)

References 37 publications

(95 reference statements)

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“…Compared to previous results in the literature, on the one hand we find a one-to-one correspondence between our branches of solutions and those found in [13] for isotropic toroidal compactifications. On the other hand, we find that some of the extrema found in [23] are incompatible with our results. Our approach also permits to analyse the perturbative stability of these new AdS solutions, solving for the spectrum of flux-induced masses for the simplest branches of extrema.…”

Section: Introductioncontrasting

confidence: 99%

“…Therefore, Case 1) and 2) correspond to the two components of the branch A1-S1 in table 1. [23] identifies these cases as extrema is presumably due to the approximations made in the potential, which effectively removes the kinetic mixing between the different Kähler modes.…”

Section: Comparison With Nt [23]mentioning

confidence: 99%

“…Within the flux landscape, a very interesting corner is given by (massive) type IIA flux compactifications, in the sense that one may achieve full moduli stabilisation using only classical ingredients. Early results on this subject display a non-trivial set of classical IIA flux vacua to AdS 4 [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Some of these solutions are based on the results of [24], which combines the classical Kähler potential of Calabi-Yau (CY) orientifolds and the superpotential induced by RR and NS background p-form fluxes to obtain an effective F-term potential.…”

Section: Introductionmentioning

confidence: 99%

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A landscape of AdS flux vacua

Marchesano

Quirant

2019

J. High Energ. Phys.

132

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We analyse type IIA Calabi-Yau orientifolds with background fluxes and D6-branes.Rewriting the F-term scalar potential as a bilinear in flux-axion polynomials yields a more efficient description of the Landscape of flux vacua, as they are invariant under the discrete shift symmetries of the 4d effective theory. In particular, expressing the extremisation conditions of the scalar potential in terms of such polynomials allows for a systematic search of vacua. We classify families of N = 0 Minkowski, N = 1 AdS and N = 0 AdS flux vacua, extending previous findings in the literature to the Calabi-Yau context. We compute the spectrum of flux-induced masses for some of them and show that they are perturbatively stable, and in particular find a branch of N = 0 AdS vacua where tachyons are absent. Finally, we extend this Landscape to the open string sector by including mobile D6-branes and their fluxes.2 Type IIA orientifolds with fluxes Type IIA flux compactifications constitute a very interesting sector of the string landscape, in the sense that from the classical flux potential one obtains both 4d Minkowski and AdS vacua, some with all moduli stabilised [1,2,5]. In the following we will focus on (massive) type IIA flux vacua whose internal geometry can be approximated by a Calabi-Yau orientifold, as assumed in [24] to derive the F-term potential used in [11]. 1 We then express the scalar potential in the factorised bilinear form of [25]. As pointed out in there, the bilinear form of the potential is independent on whether the background geometry is Calabi-Yau or not and, as it will be clear from the computations in the next section, so will be the strategy to extract the vacua from it. Type IIA on Calabi-Yau orientifoldsLet us consider type IIA string theory compactified on an orientifold of R 1,3 ×M 6 with M 6 a compact Calabi-Yau three-fold. More precisely, we take the standard orientifold quotient by Ω p (−) F L R [5,33-35], 2 with R an anti-holomorphic Calabi-Yau involution acting on the Kähler 2-form J and the holomorphic 3-form Ω as R(J) = −J and R(Ω) = Ω, respectively.In the absence of background fluxes, and neglecting worldsheet and D-brane instanton effects, dimensional reduction to 4d will yield several massless chiral fields, whose scalar components can be described as follows [24]. On the one hand, we have the complexified Kähler moduli T a = b a + it a defined throughwhere J is expressed in the Einstein frame and φ represents the ten-dimensional dilaton. The 2-form basis −2 s ω a correspond to harmonic representatives of the classes in 1 Using such potential to search for vacua is justified a posteriori, by arguing that the flux-induced scale can be made parametrically smaller than the Kaluza-Klein scale, in the same region where corrections to the potential can be neglected, see [11] and section 5.1. Therefore, even if in the presence of fluxes the compactification metric is not Calabi-Yau, it is expected that the fluxless Kähler potential is a good approximation to capture the 4d dynamics. See also [31,3...

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Section: Introductioncontrasting

confidence: 99%

Section: Comparison With Nt [23]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A landscape of AdS flux vacua

Marchesano

Quirant

2019

J. High Energ. Phys.

132

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“…In this paper, we computed the O6-plane backreaction in type IIA AdS flux vacua on Calabi-Yau orientifolds, which were previously studied in the smeared approximation in several other works [1][2][3][4][5][6]. We performed our analysis in the usual regime of large volumes and small g s , where string theory is well-approximated by 10d supergravity.…”

Section: Discussionmentioning

confidence: 99%

“…It was shown in [1,4] that supersymmetric critical points of this potential lift to a 10d smeared solution of the above equations (if in addition the usual tadpole condition for D6 charges is imposed, which corresponds to satisfying the Bianchi identity (2.18)). Since the non-supersymmetric solutions found in [3,5,6] are extrema of the same F -term 8 Note that this does not imply zero 6-form flux in the 4d superpotential (denoted by e 0 in [1]) since F 6 is the improved field strength (locally given by dC 5…”

Section: The Smeared Dgkt Solutionsmentioning

confidence: 99%

O‐Plane Backreaction and Scale Separation in Type IIA Flux Vacua

Junghans

2020

Fortschritte der Physik

143

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We construct AdS 4 flux vacua of type IIA string theory in the supergravity (large volume, small g s ) regime, including the backreaction of O6-planes. Our solutions are the localized versions of the smeared solutions on Calabi-Yau orientifolds studied by DeWolfe, Giryavets, Kachru and Taylor and in other works. We find that the O-plane backreaction in these solutions generates warping, a varying dilaton, non-closed RR field strengths and internal curvature. Just like their smeared counterparts, the localized solutions admit stabilized moduli, a parametric control over string corrections and a parametric separation between the AdS and KK scales. Our explicit expressions furthermore make precise the common lore that smeared solutions should approximate the exact ones in the large-volume, small-g s limit. Finally, our solutions appear to violate a recent swampland conjecture about an absence of scale separation in supersymmetric AdS vacua. We make a simple observation explaining why this happens in these solutions in contrast to most other AdS solutions in string theory.

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A note on O6 intersections in AdS flux vacua

Junghans

2024

J. High Energ. Phys.

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The DGKT-CFI construction of AdS flux vacua in type IIA string theory has interesting features such as classical moduli stabilization and a parametric scale separation between the Hubble scale and the Kaluza-Klein scale. A possible worry regarding the consistency of these vacua is that pathologies could arise due to intersections of the O6-planes, which are not well understood in the 10D solution. In this note, we show in explicit examples that such intersections are absent if one compactifies on smooth Calabi-Yau manifolds instead of toroidal orbifolds. In particular, we show that the blow-up of the T6/ℤ3 orbifold yields a single O6-plane which wraps a smooth submanifold without any (self-)intersections. On the other hand, blowing up the T6/$$ {\mathbb{Z}}_3^2 $$ ℤ 3 2 orbifold seems to yield an O6-plane which self-intersects. However, we show that this is due to an inconsistent orientifold involution in the original DGKT model. Imposing a consistent involution again yields a single smooth O6-plane without self-intersections on the blown-up manifold.

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On the stability of non-supersymmetric AdS vacua

Cited by 50 publications

References 37 publications

A landscape of AdS flux vacua

A landscape of AdS flux vacua

O‐Plane Backreaction and Scale Separation in Type IIA Flux Vacua

A note on O6 intersections in AdS flux vacua

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