Spectral Covers, Integrality Conditions, and Heterotic/F-theory Duality

DOI10.5427/jsing.2016.15azbMath1346.81109arXiv1603.09198OpenAlexW2334794562MaRDI QIDQ2818784

Lara B. Anderson

Publication date: 8 September 2016

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09198

zbMATH Keywords

F-theoryPicard numberalgebraic geometrysurfaces of general typeheterotic string compactification4-dimensional \(\mathcal N=1\) string dualities

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Supersymmetric field theories in quantum mechanics (81T60) (4)-folds (14J35) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02)

Related Items (3)

Multiple fibrations in Calabi-Yau geometry and string dualities ⋮ New evidence for (0,2) target space duality ⋮ Extending the geometry of heterotic spectral cover constructions

Uses Software

• cohomCalg

Cites Work

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• Computing Néron–Severi groups and cycle class groups
• Cohomology of line bundles: A computational algorithm
• CFT's from Calabi-Yau four-folds

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