# The F-theory geometry with most flux vacua

@article{Taylor2015TheFG,
title={The F-theory geometry with most flux vacua},
author={Washington Taylor and Yi-Nan Wang},
journal={Journal of High Energy Physics},
year={2015},
volume={2015},
pages={1-21}
}
• Published 10 November 2015
• Mathematics
• Journal of High Energy Physics
A bstractApplying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold ℳmax$${\mathrm{\mathcal{M}}}_{\max }$$ gives rise to O10272,000$$\mathcal{O}\left({10}^{272,000}\right)$$ F-theory flux vacua, and that the sum total of the numbers of flux vacua from all other F-theory geometries is suppressed by a relative factor of O10−3000$$\mathcal{O}\left({10}^{-3000}\right)$$. The fourfold ℳmax$${\mathrm{\mathcal{M}}}_{\max… Dualities of deformed N=2$$ \mathcal{N}=2 $$SCFTs from link monodromy on D3-brane states • Mathematics • 2016 A bstractWe study D3-brane theories that are dually described as deformations of two different N=2$$ \mathcal{N}=2 $$superconformal theories with massless monopoles and dyons. These arise at the General F-theory models with tuned (\operatorname{SU}(3) \times \operatorname{SU}(2) \times \operatorname{U}(1)) / \mathbb{Z}_6 symmetry • Mathematics • 2019 We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (\operatorname{SU}(3) \times \operatorname{SU}(2) \times E-string and model building on a typical F-theory geometry • Physics • 2018 In recent scans of 4D F-theory geometric models, it was shown that a dominant majority of the base geometries only support SU(2), G_2, F_4 and E_8 gauge groups. It is hence an important Scanning the skeleton of the 4D F-theory landscape • Mathematics • 2017 A bstractUsing a one-way Monte Carlo algorithm from several different starting points, we get an approximation to the distribution of toric threefold bases that can be used in four-dimensional An F-theory realization of the chiral MSSM with ℤ2-parity • Mathematics Journal of High Energy Physics • 2018 A bstractUsing F-theory we construct 4D N=1$$ \mathcal{N}=1 $$SUGRA theories with the Standard Model gauge group, three chiral generations, and matter parity in order to forbid all dimension four Boundedness of elliptic Calabi-Yau varieties with a rational section. • Mathematics • 2020 We show that for each fixed dimension d\geq 2, the set of d-dimensional klt elliptic varieties with numerically trivial canonical bundle is bounded up to isomorphism in codimension one, provided Landscape of modular symmetric flavor models • Mathematics • 2020 We study the moduli stabilization from the viewpoint of modular flavor symmetries. We systematically analyze stabilized moduli values in possible configurations of flux compactifications, Tuned and non-Higgsable U(1)s in F-theory A bstractWe study the tuning of U(1) gauge fields in F-theory models on a base of general dimension. We construct a formula that computes the change in Weierstrass moduli when such a U(1) is tuned, The tadpole problem • Mathematics Journal of High Energy Physics • 2021 Abstract We examine the mechanism of moduli stabilization by fluxes in the limit of a large number of moduli. We conjecture that one cannot stabilize all complex-structure moduli in F-theory at a Birational boundedness of low-dimensional elliptic Calabi–Yau varieties with a section • Mathematics Compositio Mathematica • 2021 We prove that there are finitely many families, up to isomorphism in codimension one, of elliptic Calabi–Yau manifolds Y\rightarrow X with a rational section, provided that \dim (Y)\leq 5 and Y ## References SHOWING 1-10 OF 67 REFERENCES Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties We consider families {\cal F}(\Delta) consisting of complex (n-1)-dimensional projective algebraic compactifications of \Delta-regular affine hypersurfaces Z_f defined by Laurent polynomials Distribution of the number of generations in flux compactifications • Mathematics • 2014 Flux compactification of string theory generates an ensemble with a large number of vacua, called the landscape. By using the statistics of various properties of low-energy effective theories in the Non-toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua • Mathematics • 2015 We develop a combinatorial approach to the construction of general smooth compact base surfaces that support elliptic Calabi-Yau threefolds. This extends previous analyses that have relied on toric 6D SCFTs and gravity • Mathematics • 2014 A bstractWe study how to couple a 6D superconformal field theory (SCFT) to gravity. In F-theory, the models in question are obtained working on the supersymmetric background ℝ$$ \mathbb{R} 5,1 × B
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A bstractWe carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In
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A bstractWe study (1, 0) and (2, 0) 6D superconformal field theories (SCFTs) that can be constructed in F-theory. Quite surprisingly, all of them involve an orbifold singularity ℂ2/Γ with Γ a