Moduli Stabilization with Non‐Geometric Fluxes — Comments on Tadpole Contributions and de‐Sitter Vacua

Plauschinn, Erik

doi:10.1002/prop.202100003

Cited by 14 publications

(10 citation statements)

References 67 publications

(112 reference statements)

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“…Well‐known approaches include those based on [21,22], that allow various corrections or non‐perturbative contributions, and recent works studying those possibilities include. [ 23–27 ] Further recent works on de Sitter in string compactifications can be found in [28–34]. In this paper, we rather focus on “classical de Sitter solutions”, [ 35 ] where we restrict ourselves to working in a classical and perturbative regime of string theory.…”

Section: Introductionmentioning

confidence: 99%

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Andriot

2021

Fortschritte der Physik

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Cosmological models of the early or late universe exhibit (quasi) de Sitter space‐times with different stability properties. Considering models derived from string theory, the swampland program does not provide for now a definite characterisation of this stability. In this work we focus on de Sitter solutions of 10d type II supergravities, candidates for classical de Sitter string backgrounds: surprisingly, all known examples are unstable with ηV<−1. We aim at proving the existence of such a systematic tachyon, and getting formally a bound on the value of ηV. To that end, we develop three methods, giving us various sufficient conditions for having a tachyon upon assumptions, in analogy with de Sitter no‐go theorems. Our analysis eventually indicates the existence of variety of different tachyons, and related bounds on ηV. We use this knowledge to find 10 new de Sitter solutions of type IIB supergravity, that have tachyons of a different kind, higher ηV values and new 6d geometries. One solution even appears to be stable, with however non‐compact extra dimensions.

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Section: Introductionmentioning

confidence: 99%

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Andriot

2021

Fortschritte der Physik

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“…Although this work was carried out independently, the fact that the N flux emerges in the scalar potential in the type IIB non-geometric flux compactification on CY manifolds was pointed out in ref [42]…”

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confidence: 99%

Sharpening the boundaries between flux landscape and swampland by tadpole charge

Ishiguro

Otsuka

2021

J. High Energ. Phys.

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We investigate the vacuum structure of four-dimensional effective theory arising from Type IIB flux compactifications on a mirror of the rigid Calabi-Yau threefold, corresponding to a T-dual of the DeWolfe-Giryavets-Kachru-Taylor model in Type IIA flux compactifications. By analyzing the vacuum structure of this interesting corner of string landscape, it turns out that there exist perturbatively unstable de Sitter (dS) vacua in addition to supersymmetric and non-supersymmetric anti-de Sitter vacua. On the other hand, the stable dS vacua appearing in the low-energy effective action violate the tadpole cancellation condition, indicating a strong correlation between the existence of dS vacua and the flux-induced D3-brane charge (tadpole charge). We also find analytically that the tadpole charge constrained by the tadpole cancellation condition emerges in the scalar potential in a nontrivial way. Thus, the tadpole charge would restrict the existence of stable dS vacua, and this fact underlies the statement of the dS conjecture. Furthermore, our analytical and numerical results exhibit that distributions of $$ \mathcal{O}(1) $$ O 1 parameters in expressions of several swampland conjectures peak at specific values.

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“…They play a crucial role in many phenomenological applications such as generating the correct hierarchies of scales in four-dimensional effective field theories by warping the geometry and particularly in inflationary model building [46][47][48][49][50] among others. The Tadpole constraint also leads to important implications on effective scenarios [51][52][53][54][55][56].…”

Section: Conclusion and Final Commentsmentioning

confidence: 99%

Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures

et al. 2021

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We present a proposal to relate the de Sitter conjecture (dSC) with the time dependence of fluxes via the covariant entropy bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from time-dependent flux compactification to the four-dimensional entropy which establishes a bound on the usual slow-roll parameters ηH and ϵH. We also show an explicit calculation of entropy from a toroidal flux compactification, from a transition amplitude of time-dependent fluxes which allows us to determine the conditions on which the bounds on the slow-roll parameters are in agreement to the dSC.

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Moduli Stabilization with Non‐Geometric Fluxes — Comments on Tadpole Contributions and de‐Sitter Vacua

Cited by 14 publications

References 67 publications

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Sharpening the boundaries between flux landscape and swampland by tadpole charge

Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures

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