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arXiv · 1512.01579

Patterns in Calabi-Yau Distributions

Yang-Hui He·Vishnu Jejjala·Luca Pontiggia
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Abstract

We explore the distribution of topological numbers in Calabi-Yau manifolds, using the Kreuzer-Skarke dataset of hypersurfaces in toric varieties as a testing ground. While the Hodge numbers are well-known to exhibit mirror symmetry, patterns in frequencies of combination thereof exhibit striking new patterns. We find pseudo-Voigt and Planckian distributions with high confidence and exact fit for many substructures. The patterns indicate typicality within the landscape of Calabi-Yau manifolds of various dimension.

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Yang-Hui He, Vishnu Jejjala, Luca Pontiggia. 2017-06-27. Patterns in Calabi-Yau Distributions. https://doi.org/10.1007/s00220-017-2907-9

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