English

Calabi-Yau metrics and string compactification

High Energy Physics - Theory 2015-12-09 v2 Differential Geometry

Abstract

Yau proved an existence theorem for Ricci-flat K\"ahler metrics in the 1970's, but we still have no closed form expressions for them. Nevertheless there are several ways to get approximate expressions, both numerical and analytical. We survey some of this work and explain how it can be used to obtain physical predictions from superstring theory.

Keywords

Cite

@article{arxiv.1503.02899,
  title  = {Calabi-Yau metrics and string compactification},
  author = {Michael R. Douglas},
  journal= {arXiv preprint arXiv:1503.02899},
  year   = {2015}
}

Comments

10 pages. Version to appear in Nuclear Physics B special issue: 60 Years of Calabi Conjecture

R2 v1 2026-06-22T08:48:44.400Z