5 papers
Sampling Triangulations and Calabi-Yau Threefolds with Autoregressive GNNs
Nate MacFadden
We introduce `dualGNN', an autoregressive message-passing GNN for sampling fine, regular triangulations of lattice polytopes. dualGNN operates on a generalization of the dual graph…
The MuFusE Large-Volume Diamond Anvil Cell for Exploring Muon-Catalyzed Fusion at Higher Pressures and Temperatures
J. D. Kalow, J. T. Hinchen, G. Harris +45
A new large-volume diamond anvil cell (DAC) has been developed for the Muon-catalyzed Fusion (CF) Experiment (MuFusE), enabling the compression and heating of deuterium-tritium…
Further Bounding the Kreuzer-Skarke Landscape
Nate MacFadden, Stepan Yu. Orevkov, Michael Stepniczka
Batyrev's construction provides a map from fine, regular, star triangulations (FRSTs) of 4D reflexive polytopes to smooth Calabi-Yau threefolds (CYs). We prove that there are at mo…
Calabi-Yau Threefolds from Vex Triangulations
Nate MacFadden, Elijah Sheridan
We study the birational geometry (i.e., Kähler moduli space) of Calabi--Yau (CY) threefold hypersurfaces in toric varieties arising from four-dimensional reflexive polytopes. In pa…
The DNA of Calabi-Yau Hypersurfaces
Nate MacFadden, Andreas Schachner, Elijah Sheridan
We implement Genetic Algorithms for triangulations of four-dimensional reflexive polytopes which induce Calabi-Yau threefold hypersurfaces via Batyrev's construction. We demonstrat…