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Article
Mathematics, Applied
Iosif Bena et al.
Summary: This study presents a computer-aided search method using differential evolutionary algorithms and local searches to solve a minimization problem in the context of flux-stabilizable moduli of smooth K3 x K3 compactification. The results support the Tadpole Conjecture and introduce an efficient Spider Algorithm for exploring minimal-tadpole configurations.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
(2022)
Article
Physics, Particles & Fields
Iosif Bena et al.
Summary: D7-brane moduli are stabilized by worldvolume fluxes, contributing to the D3-brane tadpole. In F-theory Type IIB compactifications, a no-go theorem is proved for certain landscape of configurations. As the genus of the curve dual to the D7 worldvolume fluxes increases, the induced D3 charge's lower bound decreases, but high-genus high-degree curve flux configurations cannot be ruled out completely. Most of these fluxes are likely to have very high curvature above the string scale, except on unrealistically large compactification manifolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Ross Altman et al.
Summary: We establish an orientifold Calabi-Yau threefold database for h(1,1)(X) <= 6 by considering non-trivial Z(2) divisor exchange involutions, and determine the characteristics and properties of these orientifold Calabi-Yau threefolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Erik Plauschinn
Summary: The study provides evidence for the correctness of the tadpole conjecture by analyzing statistical data, which indicates that not all complex-structure moduli can be stabilized by fluxes in string-theory compactifications with a large number of moduli.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Thomas W. Grimm et al.
Summary: We propose a new strategy for studying complex-structure moduli stabilization in Type IIB and F-theory flux compactifications. By utilizing the tools of asymptotic Hodge theory, we determine vacua in any asymptotic regime of the complex-structure moduli space. In a leading approximation, we find that the moduli dependence of the vacuum conditions follows a polynomial behavior with a dependence given by sl(2)-weights of the fluxes. We provide a pedagogical introduction to the sl(2)-approximation and a step-by-step procedure for constructing the corresponding Hodge star operator. Our analysis of Calabi-Yau examples demonstrates the accuracy of the sl(2)-approximation and allows us to determine the behavior of the fluxes' tadpole contribution. Furthermore, we discuss the structure of vacuum loci and their relationship to swampland conjectures, specifically the realization of the linear scenario in view of the tadpole conjecture.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Chiara Crino et al.
Summary: By classifying 4D reflexive polytopes, this paper presents a systematic construction of Calabi-Yau hypersurfaces. Orientifold configurations on these hypersurfaces are computed, revealing explicit string compactifications. The inclusion of non-local Whitney branes leads to larger D3-tadpoles and enhances the stability of all complex structure moduli.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Xin Gao et al.
Summary: This paper investigates the large volume scenario of de Sitter compactifications in the type IIB string and proposes a simple and explicit formula for controlling corrections. By controlling parameters, the interaction between control quality and the tadpole conjecture is discussed, and the directions for future research and potential challenges are explored.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Mariana Grana et al.
Summary: The tadpole conjecture suggests that the complete stabilization of complex structure deformations in Type IIB and F-theory flux compactifications is severely obstructed by the tadpole bound on the fluxes. We provide the first conceptual argument using asymptotic Hodge theory to explain the linear scaling setting and clarify why it sets in only for a large number of stabilized moduli.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Daniel Junghans
Summary: In this article, we elaborate on the self-consistency of de Sitter vacua in the LARGE-volume scenario of type IIB string theory. We analyze the control over warping, curvature, and g(s) corrections, which depend on the compactification's topology and orientifold/brane data. By computing a general bound on the magnitude of these corrections, we find that the D3 tadpole is strongly constrained. The required tadpole ranges from O(500) to O(10(6)) or more, depending on factors such as the Euler number of the Calabi-Yau 3-fold, the triple-self-intersection and Euler numbers of the small divisor, and the coefficient a(s) in the non-perturbative superpotential.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Mehmet Demirtas et al.
Summary: By constructing supersymmetric AdS(4) vacua in compactifications on orientifolds of Calabi-Yau threefold hypersurfaces, we have found that with mild assumptions on numerical values, all moduli can be stabilized at weak string coupling. Furthermore, high-degree Gopakumar-Vafa invariants provide strong evidence that the compactifications are well-controlled, resulting in extremely small cosmological constants. The hierarchical scale-separation in these large but not exponentially compactifications is manifested by the AdS length exceeding the Kaluza-Klein length by a googol factor.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Iosif Bena et al.
Summary: By analyzing examples such as K3xK3 and CP3 compactifications, we conjecture that it is not possible to stabilize all complex-structure moduli in F-theory using fluxes, which has implications for certain vacuum solutions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Fernando Marchesano et al.
Summary: In this study, we compute the flux-induced F-term potential in 4d F-theory compactifications at large complex structure. We identify two families of vacua where complex structure fields are fixed and flux contributions are bounded. Our analysis provides explicit general expressions for the potential and explores the set of flux vacua for an arbitrary number of fields, linking our findings to previous results in the literature.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
A. P. Braun et al.
Summary: The study constructs G(4) fluxes to stabilize the 426 complex structure moduli of the sextic Calabi-Yau fourfold at the Fermat point, addressing the challenge of stabilization in models with many moduli. By using algebraic cycles, the researchers demonstrate how such fluxes can be constructed and analyze flat directions. It is observed that while symmetric fluxes can automatically solve multiple F-term equations, they often lead to flat directions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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Physics, Particles & Fields
Mehmet Demirtas et al.
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(2020)
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Federico Carta et al.
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(2020)
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Philip Betzler et al.
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(2019)
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Iosif Bena et al.
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
(2019)
Review
Physics, Multidisciplinary
Erik Plauschinn
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2019)
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JOURNAL OF HIGH ENERGY PHYSICS
(2018)
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Ross Altman et al.
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(2015)
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Dieter Lüst et al.
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(2013)
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Ralph Blumenhagen et al.
Review
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Andres Collinucci et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2009)
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(2009)
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(2005)
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ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS
(2000)
