Numerical Calabi-Yau metrics

Journal Article · Sat Mar 15 00:00:00 EDT 2008 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2888403· OSTI ID:21100237

Douglas, Michael R ^[1]; Karp, Robert L; Lukic, Sergio; Reinbacher, Rene ^[1]

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1. Department of Physics, Rutgers University, Piscataway, New Jersey 08854-8019 (United States)

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.

• OSTI ID: 21100237
• Journal Information: Journal of Mathematical Physics, Vol. 49, Issue 3; Other Information: DOI: 10.1063/1.2888403; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MATHEMATICAL SPACE
METRICS
NUMERICAL ANALYSIS
RICCI TENSOR
STRING THEORY