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
I will describe a large scale study of Calabi-Yau hypersurfaces in toric varieties. We construct lar...
203 pagesThis dissertation studies compactifications of string theory on Calabi-Yau manifolds with l...
A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term monad b...
Kreuzer and Skarke famously produced the largest known database of Calabi-Yau threefolds by providin...
We undertake a systematic scan of vector bundles over spaces from the largest database of known Cala...
We revisit the classic database of weighted-P4s which admit Calabi-Yau 3-fold hypersurfaces equipped...
With a bird’s-eye view, we survey the landscape of Calabi-Yau threefolds, compact and non-compact, s...
Kreuzer and Skarke famously produced the largest known database of Calabi-Yau threefolds by providin...
We study the statistics of the metric on Kähler moduli space in compactifications of string theory o...
We systematically approach the construction of heterotic E 8 × E 8 Calabi-Yau models, based on compa...
We explicitly construct the largest dataset to date of heterotic vacua arising from stable vector bu...
We study the Poincar´e polynomials of all known Calabi-Yau three-folds as constrained polynomials of...
We describe an efficient, construction independent, algorithmic test to determine whether Calabi-Yau...
We study heterotic model building on 16 specific Calabi-Yau manifolds constructed as hypersurfaces i...
We study various geometrical quantities for Calabi–Yau varieties realized as cones over Gorenstein F...
I will describe a large scale study of Calabi-Yau hypersurfaces in toric varieties. We construct lar...
203 pagesThis dissertation studies compactifications of string theory on Calabi-Yau manifolds with l...
A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term monad b...
Kreuzer and Skarke famously produced the largest known database of Calabi-Yau threefolds by providin...
We undertake a systematic scan of vector bundles over spaces from the largest database of known Cala...
We revisit the classic database of weighted-P4s which admit Calabi-Yau 3-fold hypersurfaces equipped...
With a bird’s-eye view, we survey the landscape of Calabi-Yau threefolds, compact and non-compact, s...
Kreuzer and Skarke famously produced the largest known database of Calabi-Yau threefolds by providin...
We study the statistics of the metric on Kähler moduli space in compactifications of string theory o...
We systematically approach the construction of heterotic E 8 × E 8 Calabi-Yau models, based on compa...
We explicitly construct the largest dataset to date of heterotic vacua arising from stable vector bu...
We study the Poincar´e polynomials of all known Calabi-Yau three-folds as constrained polynomials of...
We describe an efficient, construction independent, algorithmic test to determine whether Calabi-Yau...
We study heterotic model building on 16 specific Calabi-Yau manifolds constructed as hypersurfaces i...
We study various geometrical quantities for Calabi–Yau varieties realized as cones over Gorenstein F...
I will describe a large scale study of Calabi-Yau hypersurfaces in toric varieties. We construct lar...
203 pagesThis dissertation studies compactifications of string theory on Calabi-Yau manifolds with l...
A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term monad b...