A systematic approach to Kähler moduli stabilisation

We consider de Sitter vacua realised in concrete type IIB Calabi-Yau compactifications with an anti D3-brane at the tip of a warped throat of Klebanov-Strassler type. The Kähler moduli are stabilised together with the complex structure modulus of the warped throat. The volume is exponentially large as in the large volume scenario (LVS). We analyse the conditions on the parameters of the EFT such that they are in the region of validity of our approximations, there are no runaway problems and the vacua satisfy all consistency constraints, such as tadpole cancellation. We illustrate our results with an explicit Calabi-Yau orientifold with two Kähler moduli and one antibrane on top of an O3-plane in a warped throat, that has the goldstino as its only massless state. The moduli are stabilised with gs∼ 0.2 and volume $$ \mathcal{V} $$ V ∼ 104 in string units, justifying the approximation used to derive the corresponding EFT. Although the model lacks chiral matter, it is presented as a proof of concept, chosen to be the simplest realisation of antibrane uplift.

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“…There are also mixed situations [31][32][33]. In this paper we will concentrate on the Large Volume Scenario (LVS).…”

Section: Lvs Kähler Moduli Stabilisationmentioning

confidence: 99%

“…The requirement M KK m 3/2 , in particular, can be expressed in terms of the parameters of the model as [33,61]: . This puts an upper bound on W 0 [33].…”

Section: Jhep03(2021)258mentioning

confidence: 99%

On de Sitter string vacua from anti-d3-branes in the large volume scenario

Crinò

Quevedo

Valandro

2021

J. High Energ. Phys.

124

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“…Let us finally discuss LVS moduli stabilization [ 2 ] (for recent work and more references see e.g. [70]). For the standard example of a swiss‐cheese manifold with 2 Kahler moduli τ 1 and τ 2 , an LVS minimum exists for

V \sim τ_{2}^{3 / 2} \sim e^{a_{1} τ_{1}} false| W_{0} false| \sqrt{τ_{1}}, τ_{1} \sim \frac{ξ^{2 / 3}}{g_{s}},

where

ξ \approx - 2.4 \cdot 10^{- 3} χ false(X false)

and

χ (X)

is the Euler characteristic of the Calabi‐Yau 3‐fold.…”

Section: Possible Escape Routesmentioning

confidence: 99%

Control Issues of KKLT

Gao

Hebecker

Junghans

2020

Fortschritte der Physik

115

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We analyze to which extent the KKLT proposal for the construction of de Sitter vacua in string theory is quantitatively controlled. Our focus is on the quality of the 10d supergravity approximation. As our main finding, we uncover and quantify an issue which one may want to call the "singular-bulk problem". In particular, we show that, requiring the curvature to be small in the conifold region, one is generically forced into a regime where the warp factor becomes negative in a significant part of the Calabi-Yau orientifold. This implies true singularities, independent of the familiar, string-theoretically controlled singularities of this type in the vicinity of O-planes. We also discuss possible escape routes as well as other control issues, related to the need for a large tadpole and hence for a complicated topology.

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“…At this semi-classical level of approximation, the Kähler moduli are however flat directions due to the underlying no-scale cancellation which is inherited from higher-dimensional rescaling symmetries [25]. The simplest LVS model (see [55][56][57][58] for more general constructions) features 2 Kähler moduli and a CY volume of the form…”

Section: Perturbative Vs Non-perturbative Effects: Lvsmentioning

confidence: 99%

Moduli stabilisation and the statistics of SUSY breaking in the landscape

Broeckel

Cicoli

Maharana

et al. 2020

J. High Energ. Phys.

Self Cite

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The statistics of the supersymmetry breaking scale in the string landscape has been extensively studied in the past finding either a power-law behaviour induced by uniform distributions of F-terms or a logarithmic distribution motivated by dynamical supersymmetry breaking. These studies focused mainly on type IIB flux compactifications but did not systematically incorporate the Kähler moduli. In this paper we point out that the inclusion of the Kähler moduli is crucial to understand the distribution of the supersymmetry breaking scale in the landscape since in general one obtains unstable vacua when the F-terms of the dilaton and the complex structure moduli are larger than the F- terms of the Kähler moduli. After taking Kähler moduli stabilisation into account, we find that the distribution of the gravitino mass and the soft terms is power-law only in KKLT and perturbatively stabilised vacua which therefore favour high scale supersymmetry. On the other hand, LVS vacua feature a logarithmic distribution of soft terms and thus a preference for lower scales of supersymmetry breaking. Whether the landscape of type IIB flux vacua predicts a logarithmic or power-law distribution of the supersymmetry breaking scale thus depends on the relative preponderance of LVS and KKLT vacua.

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A systematic approach to Kähler moduli stabilisation

Cited by 62 publications

References 87 publications

On de Sitter string vacua from anti-d3-branes in the large volume scenario

On de Sitter string vacua from anti-d3-branes in the large volume scenario

Control Issues of KKLT

Moduli stabilisation and the statistics of SUSY breaking in the landscape

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