English

Numerical Calabi-Yau metrics

High Energy Physics - Theory 2008-11-26 v1

Abstract

We develop numerical methods for approximating Ricci flat metrics on Calabi-Yau hypersurfaces in projective spaces. Our approach is based on finding balanced metrics, and builds on recent theoretical work by Donaldson. We illustrate our methods in detail for a one parameter family of quintics. We also suggest several ways to extend our results.

Cite

@article{arxiv.hep-th/0612075,
  title  = {Numerical Calabi-Yau metrics},
  author = {Michael R. Douglas and Robert L. Karp and Sergio Lukic and Rene Reinbacher},
  journal= {arXiv preprint arXiv:hep-th/0612075},
  year   = {2008}
}

Comments

23 pages, 3 figures

R2 v1 2026-07-22T15:39:46.857Z