| Preprint | |
| Report number | arXiv:2310.06820 ; CERN-TH-2023-189 |
| Title | Counting Calabi-Yau Threefolds |
| Author(s) | Gendler, Naomi (Harvard U., Phys. Dept. ; Cornell U.) ; MacFadden, Nate (Cornell U.) ; McAllister, Liam (Cornell U.) ; Moritz, Jakob (Cornell U. ; CERN) ; Nally, Richard (Cornell U.) ; Schachner, Andreas (Cornell U. ; Munich U., ASC) ; Stillman, Mike (Cornell U., LNS) |
| Imprint | 2023-10-10 |
| Number of pages | 40 |
| Note | 40 pages, 1 figure, 5 tables |
| Subject category | math.AG ; Mathematical Physics and Mathematics ; hep-th ; Particle Physics - Theory |
| Abstract | We enumerate topologically-inequivalent compact Calabi-Yau threefold hypersurfaces. By computing arithmetic and algebraic invariants and the Gopakumar-Vafa invariants of curves, we prove that the number of distinct simply connected Calabi-Yau threefold hypersurfaces resulting from triangulations of four-dimensional reflexive polytopes is 4, 27, 183, 1,184 and 8,036 at $h^{1,1}$ = 1, 2, 3, 4, and 5, respectively. We also establish that there are ten equivalence classes of Wall data of non-simply connected Calabi-Yau threefolds from the Kreuzer-Skarke list. Finally, we give a provisional count of threefolds obtained by enumerating non-toric flops at $h^{1,1} =2$. |
| Other source | Inspire |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) |
Record created 2023-10-14, last modified 2024-01-10
