Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
LCP
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"
Image for the paper "New Calabi-Yau manifolds from genetic algorithms"

Genetic polytopes

Algebraic geometry

New Calabi-Yau manifolds from genetic algorithms

Physics Letters B 850, 138504 (2023)

P. Berglund, Y. He, E. Heyes, E. Hirst, V. Jejjala, A. Lukas

Finding reflexive polytopes of dimension n+1n + 1 is important as they give Calabi-Yau manifolds of dimension nn. But only for n=2,3n = 2, 3 and 44 are all such polytopes classified. We use a genetic algorithm to generate these polytopes, reproducing the full set for n=2n = 2 and 33, and some for n=4n = 4. We then extend to n=5n = 5, and calculate normal forms to find many polytopes not currently known, revealing new Calabi-Yau 44-folds.

Physics Letters B 850, 138504 (2023)

P. Berglund, Y. He, E. Heyes, E. Hirst, V. Jejjala, A. Lukas