Vacua with Small Flux Superpotential

Demirtaş, Mehmet; Kim, Manki; McAllister, Liam; Moritz, Jakob

doi:10.1103/physrevlett.124.211603

Cited by 125 publications

(292 citation statements)

References 75 publications

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“…Having more fields at high energies that break the scaling symmetries means including more spurions in the low-energy theory, potentially undermining the conclusions drawn above about the form dictated by scaling for K and W. 47 To see what is involved consider a spurion, W 0 , representing an expectation for the field G 3 itself. When W 0 = 0 the dilaton remains a massless Goldstone boson (see [176] for an explicit example) while when the spurion W 0 is non-zero, one of the scaling symmetries is explicitly broken and the dilaton becomes massive. This spurion scales as W 0 → w W 0 , as does G 3 .…”

Section: Other Fields and Spurionsmentioning

confidence: 99%

UV Shadows in EFTs: Accidental Symmetries, Robustness and No‐Scale Supergravity

Burgess

Cicoli

Ciupke

et al. 2020

Fortschritte der Physik

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We argue that accidental approximate scaling symmetries are robust predictions of weakly coupled string vacua, and show that their interplay with supersymmetry and other (generalised) internal symmetries underlies the ubiquitous appearance of no-scale supergravities in low-energy 4D EFTs. We identify 4 nested types of no-scale supergravities, and show how leading quantum corrections can break scale invariance while preserving some no-scale properties (including non-supersymmetric flat directions). We use these ideas to classify corrections to the low-energy 4D supergravity action in perturbative 10D string vacua, including both bulk and brane contributions. Our prediction for the Kähler potential at any fixed order in ′ and string loops agrees with all extant calculations. p-form fields play two important roles: they spawn many (generalised) shift symmetries; and space-filling 4-forms teach 4D physics about higher-dimensional phenomena like flux quantisation. We argue that these robust symmetry arguments suffice to understand obstructions to finding classical de Sitter vacua, and suggest how to get around them in UV complete models.

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Section: Other Fields and Spurionsmentioning

confidence: 99%

UV Shadows in EFTs: Accidental Symmetries, Robustness and No‐Scale Supergravity

Burgess

Cicoli

Ciupke

et al. 2020

Fortschritte der Physik

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“…However, a full understanding of this question requires detailed (numerical) studies of the distributions of flux vacua which is well beyond the scope of the present work. For estimates of the number of vacua as a function of the flux superpotential and the string coupling see [40][41][42][43][44].…”

Section: Jhep10(2020)015mentioning

confidence: 99%

“…Given that LVS models can be realised for natural values of the vacuum expectation value of the flux superpotential, |W 0 | ∼ O(1 − 10), while KKLT models can be constructed only via tuning |W 0 | to exponentially small values (similar considerations about tuning of the underlying parameters apply also to perturbatively stabilised vacua), we tend to conclude that the distribution of the scale of supersymmetry breaking seems to be logarithmic. However, more detailed studies are needed in order to find a precise definite answer to this important question (see [40][41][42][43][44] for initial studies on the determination of the number of vacua as a function of |W 0 | and g s ).…”

Section: Jhep10(2020)015mentioning

confidence: 99%

Moduli stabilisation and the statistics of SUSY breaking in the landscape

Broeckel

Cicoli

Maharana

et al. 2020

J. High Energ. Phys.

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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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“…see e.g. [26,45,[53][54][55][56][57][58][59][60][61]. This is an elliptic fibration with h 1,1 = 2, h 2,1 = 272, hence χ = −540, with a typical fiber in the configuration E 6 ∈ P (1,2,3) [6].…”

Section: 2mentioning

confidence: 99%

On flux vacua and modularity

Schimmrigk

2020

J. High Energ. Phys.

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Geometric modularity has recently been conjectured to be a characteristic feature of flux vacua with W = 0. This paper provides support for the conjecture by computing motivic modular forms in a direct way for several string compactifications for which such vacua are known to exist. The analysis of some Calabi-Yau manifolds which do not admit supersymmetric flux vacua shows that the reverse of the conjecture does not hold.

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Vacua with Small Flux Superpotential

Abstract: We introduce a method for finding flux vacua of type IIB string theory in which the flux superpotential is exponentially small and at the same time one or more complex structure moduli are stabilized exponentially near to conifold points.

Cited by 125 publications

References 75 publications

UV Shadows in EFTs: Accidental Symmetries, Robustness and No‐Scale Supergravity

UV Shadows in EFTs: Accidental Symmetries, Robustness and No‐Scale Supergravity

Moduli stabilisation and the statistics of SUSY breaking in the landscape

On flux vacua and modularity

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