期刊
PHYSICAL REVIEW LETTERS
卷 102, 期 16, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.161601
关键词
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资金
- DOE [DE-FG03-92-ER40701]
- World Premier International Research Center Initiative of MEXT of Japan
- JSPS [20540256]
- Kavli Foundation
- GCOE for Phys. Sci. Frontier of MEXT of Japan
- Grants-in-Aid for Scientific Research [20540256] Funding Source: KAKEN
We show how the smooth geometry of Calabi-Yau manifolds emerges from the thermodynamic limit of the statistical mechanical model of crystal melting defined in our previous paper. In particular, the thermodynamic partition function of molten crystals is shown to be equal to the classical limit of the partition function of the topological string theory by relating the Ronkin function of the characteristic polynomial of the crystal melting model to the holomorphic 3-form on the corresponding Calabi-Yau manifold.
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