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arXiv · 1904.08530

Distinguishing Elliptic Fibrations with AI

Yang-Hui He·Seung-Joo Lee
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Abstract

We use the latest techniques in machine-learning to study whether from the landscape of Calabi-Yau manifolds one can distinguish elliptically fibred ones. Using the dataset of complete intersections in products of projective spaces (CICY3 and CICY4, totalling about a million manifolds) as a concrete playground, we find that a relatively simple neural network with forward-feeding multi-layers can very efficiently distinguish the elliptic fibrations, much more so than using the traditional methods of manipulating the defining equations. We cross-check with control cases to ensure that the AI is not randomly guessing and is indeed identifying an inherent structure. Our result should prove useful in F-theory and string model building as well as in pure algebraic geometry.

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Yang-Hui He, Seung-Joo Lee. 2019-04-17. Distinguishing Elliptic Fibrations with AI. https://doi.org/10.1016/j.physletb.2019.134889

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