Divisors on elliptic Calabi-Yau 4-folds and the superpotential in F-theory. I

DOI10.1016/S0393-0440(98)00004-7zbMath0940.14030arXivalg-geom/9704008OpenAlexW2055639220MaRDI QIDQ1299160

Antonella Grassi

Publication date: 27 July 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9704008

zbMATH Keywords

toric varietyelliptic fibrationsuperpotentialdivisorsHodge numberstransitions\(F\)-theoryFano 3-foldCalabi-Yau 4-foldsmoothings of the singular model

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Supermanifolds and graded manifolds (58A50) Divisors, linear systems, invertible sheaves (14C20)

Related Items

Calabi-Yau threefolds with large \(h^{2,1}\), Freezing E3-brane instantons with fluxes, \(N=1\) dual string pairs and their massless spectra, Topological constraints on stabilized flux vacua, Moduli in \(N=1\) heterotic/\(F\)-theory duality, Global F-theory GUTs, Systematics of axion inflation in Calabi-Yau hypersurfaces, Superpotentials from singular divisors, Non-higgsable QCD and the standard model spectrum in F-theory, Magnetized E3-brane instantons in F-theory, F-theory GUT vacua on compact Calabi-Yau fourfolds, Structure in 6D and 4D \( \mathcal{N}=1 \) supergravity theories from F-theory, Group representations and the Euler characteristic of elliptically fibered Calabi–Yau threefolds, Three-dimensional \(N=2\) gauge theories and degenerations of Calabi-Yau four-folds, Supersymmetric protection and the swampland, Small cosmological constants in string theory

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