The Euler characteristic correction to the Kähler potential — revisited

Bonetti, Federico; Weissenbacher, Matthias

doi:10.1007/jhep01(2017)003

Cited by 27 publications

(51 citation statements)

References 47 publications

(141 reference statements)

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“…where V is the Einstein-frame CY volume in string units, K α is an O(α 3 ) correction which depends just on the overall volume V [41][42][43], K gs contains both O(g 2 s α 2 ) and O(g 2 s α 4 ) string loop effects which depend on all T -moduli [33,37,38], while W 0 is the flux superpotential which can be considered as constant after complex structure and dilaton stabilisation.…”

Section: A Brief Reviewmentioning

confidence: 99%

Global embedding of fibre inflation models

Cicoli

Muia

Shukla

2016

J. High Energ. Phys.

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We present concrete embeddings of fibre inflation models in globally consistent type IIB Calabi-Yau orientifolds with closed string moduli stabilisation. After performing a systematic search through the existing list of toric Calabi-Yau manifolds, we find several examples that reproduce the minimal setup to embed fibre inflation models. This involves Calabi-Yau manifolds with h 1,1 = 3 which are K3 fibrations over a P 1 base with an additional shrinkable rigid divisor. We then provide different consistent choices of the underlying brane set-up which generate a non-perturbative superpotential suitable for moduli stabilisation and string loop corrections with the correct form to drive inflation. For each Calabi-Yau orientifold setting, we also compute the effect of higher derivative contributions and study their influence on the inflationary dynamics.

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Section: A Brief Reviewmentioning

confidence: 99%

Global embedding of fibre inflation models

Cicoli

Muia

Shukla

2016

J. High Energ. Phys.

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“…It is thus of great interest to advance beyond the classical results [3]. In this work we analyze the role of the leading order α -corrections to the fourdimensional, N = 1 effective actions of type IIB orientifold compactifications [4][5][6][7][8][9][10] in Kähler moduli stabilization [8,9,11]. We argue that due to the presence of the α -corrections Minkowski and de Sitter vacua may be obtained for Calabi-Yau orientifolds of positive Eulercharacteristic.…”

Section: Introductionmentioning

confidence: 98%

α′-Corrections and de Sitter vacua - A mirage?

Weissenbacher

2019

Physics Letters B

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In this work we analyze the role of α -corrections to type IIB orientifold compactifications in Kähler moduli stabilization and inflation. In particular, we propose a model independent scenario to achieve non-supersymmetric Minkowski and de Sitter vacua for geometric backgrounds with positive Euler-characteristic and generic number of Kähler moduli. The vacua are obtained by a tuning of the flux superpotential. Moreover, in the one-modulus case we argue for a mechanisms to achieve model independent slow-roll.

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“…The superpotential W 0 (U i , S) for U i and the dilaton S can in principle be extended to include other fields such as the Higgs boson. The uplift to deSitter space and the breaking of supersymmetry are provided by the α correction ξ term [25,26].…”

Section: Revisiting the Racetrack Kähler Uplift Modelmentioning

confidence: 99%

String landscape and fermion masses

Andriolo

Tye

2020

Phys. Rev. D

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Besides the string scale, string theory has no parameter except some quantized flux values; and the string theory Landscape is generated by scanning over discrete values of all the flux parameters present. We propose that a typical (normalized) probability distribution P (Q) of a physical quantity Q (with nonnegative dimension) tends to peak (diverge) at Q = 0 as a signature of string theory. In the Racetrack Kähler uplift model, where P (Λ) of the cosmological constant Λ peaks sharply at Λ = 0, the electroweak scale (not the electroweak model) naturally emerges when the median Λ is matched to the observed value. We check the robustness of this scenario. In a bottom-up approach, we find that the observed quark and charged lepton masses are consistent with the same probabilistic philosophy, with distribution P (m) that diverges at m = 0, with the same (or almost the same) degree of divergence. This suggests that the Standard Model has an underlying string theory description, and yields relations among the fermion masses, albeit in a probabilistic approach (very different from the usual sense). Along this line of reasoning, the normal hierarchy of neutrino masses is clearly preferred over the inverted hierarchy, and the sum of the neutrino masses is predicted to be m ν 0.0592 eV, with an upper bound m ν < 0.066 eV. This illustrates a novel way string theory can be applied to particle physics phenomenology.

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The Euler characteristic correction to the Kähler potential — revisited

Cited by 27 publications

References 47 publications

Global embedding of fibre inflation models

Global embedding of fibre inflation models

α′-Corrections and de Sitter vacua - A mirage?

String landscape and fermion masses

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