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All Complete Intersection Calabi-Yau Four-Folds · Around

2013

All Complete Intersection Calabi-Yau Four-Folds

Gray, James, Haupt, Alexander S., Lukas, Andre

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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.

Built on

T. Hubsch, “Calabi-Yau Manifolds: Motivations And Constructions,”
1987
Earlier work this paper cites.
P. Green and T. Hubsch, “Calabi-Yau Manifolds As Complete Intersections In Products Of Complex Projective Spaces,”
1987
Earlier work this paper cites.
P. Candelas, A. M. Dale, C. A. Lutken and R. Schimmrigk, “Complete Intersection Calabi-Yau Manifolds,” Nucl. Phys. B 298
1988
Earlier work this paper cites.
P. Candelas, C. A. Lutken and R. Schimmrigk, “Complete Intersection Calabi-Yau Manifolds. 2. Three Generation Manifolds,”
1988
Earlier work this paper cites.
T. Hubsch, “Calabi-Yau manifolds: A Bestiary for physicists,” Singapore, Singapore: World Scientific (1992) 362 p
1992
Earlier work this paper cites.

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The original list of CICY three-folds found in ref

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The full list of CICY four-fold configuration matrices and their Euler characteristics can be downloaded at

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2012

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