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arXiv · 1303.1832

All Complete Intersection Calabi-Yau Four-Folds

James Gray·Alexander S. Haupt·Andre Lukas
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Abstract

We present an exhaustive, constructive, classification of the Calabi-Yau four-folds which can be described as complete intersections in products of projective spaces. A comprehensive list of 921,497 configuration matrices which represent all topologically distinct types of complete intersection Calabi-Yau four-folds is provided and can be downloaded at http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/Cicy4folds/index.html . The manifolds have non-negative Euler characteristics in the range 0 - 2610. This data set will be of use in a wide range of physical and mathematical applications. Nearly all of these four-folds are elliptically fibered and are thus of interest for F-theory model building.

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James Gray, Alexander S. Haupt, Andre Lukas. 2013-07-14. All Complete Intersection Calabi-Yau Four-Folds. https://doi.org/10.1007/jhep07(2013)070

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