Patterns in Calabi-Yau Distributions
High Energy Physics - Theory
2017-06-28 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1512.01579,
title = {Patterns in Calabi-Yau Distributions},
author = {Yang-Hui He and Vishnu Jejjala and Luca Pontiggia},
journal= {arXiv preprint arXiv:1512.01579},
year = {2017}
}
Comments
62 pages, 22 figures in main text, LaTeX, v.3: section 2.5 added; minor edits; matches version in CMP