Patterns in Calabi-Yau Distributions
He, Y-H., Jejjala, V. & Pontiggia, L. (2017). Patterns in Calabi-Yau Distributions. Communications in Mathematical Physics, 354(2), pp. 477-524. doi: 10.1007/s00220-017-2907-9
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.
| Publication Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
Available under License Creative Commons: Attribution International Public License 4.0.
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