Magdalena Larfors

h-index13
1paper
803citations

1 Paper

14.9HEP-THNov 2, 2021Code
Learning Size and Shape of Calabi-Yau Spaces

Magdalena Larfors, Andre Lukas, Fabian Ruehle et al.

We present a new machine learning library for computing metrics of string compactification spaces. We benchmark the performance on Monte-Carlo sampled integrals against previous numerical approximations and find that our neural networks are more sample- and computation-efficient. We are the first to provide the possibility to compute these metrics for arbitrary, user-specified shape and size parameters of the compact space and observe a linear relation between optimization of the partial differential equation we are training against and vanishing Ricci curvature.