Numerical Calabi-Yau metrics

被引：50
|
作者：
Douglas, Michael R. [1 ,2 ]
Karp, Robert L. [1 ]
Lukic, Sergio [1 ]
Reinbacher, Rene [1 ]
机构：
[1] Rutgers State Univ, Dept Phys, Piscataway, NJ 08854 USA
[2] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 03期
关键词：
D O I：
10.1063/1.2888403
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2008 American Institute of Physics.
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页数：19
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