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 here. The manifolds have non-negative Euler characteristics in the range 0 ≤ χ ≤ 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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The original list of CICY three-folds found in ref. [1] can be downloaded at The list of complete intersection Calabi-Yau three-folds webpage, http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/cicylist/index.html.
In its original format at CICY webpage, http://www.th.physik.uni-bonn.de/th/People/netah/cy/cicys/cicy.html.
The full list of CICY four-fold configuration matrices and their Euler characteristics can be downloaded at All complete intersection Calabi-Yau four-folds webpage, http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/Cicy4folds/index.html.
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ArXiv ePrint: 1303.1832
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Gray, J., Haupt, A.S. & Lukas, A. All complete intersection Calabi-Yau four-folds. J. High Energ. Phys. 2013, 70 (2013). https://doi.org/10.1007/JHEP07(2013)070
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DOI: https://doi.org/10.1007/JHEP07(2013)070