Published April 24, 2009
| Published + Submitted
Journal Article
Open
Emergent Calabi-Yau geometry
- Creators
-
Ooguri, Hirosi
- Yamazaki, Masahito
Abstract
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.
Additional Information
© 2009 The American Physical Society. Received 27 February 2009; published 21 April 2009. We would like to thank Alexei Borodin, Kentaro Hori, Kentaro Nagao, and Andrei Okounkov for stimulating discussions. We thank Mina Aganagic for her comment on the earlier version of this Letter. This work is supported in part by DOE Grant No. DE-FG03-92-ER40701 and by the World Premier International Research Center Initiative of MEXT of Japan. H. O. is also supported in part by a Grant-in-Aid for Scientific Research (C) 20540256 of JSPS and by the Kavli Foundation. M.Y. is also supported in part by JSPS and GCOE for Phys. Sci. Frontier of MEXT of Japan.Attached Files
Published - Wu2009p2374Phys_Rev_Lett.pdf
Submitted - 0902.3996.pdf
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Wu2009p2374Phys_Rev_Lett.pdf
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Additional details
- Eprint ID
- 14783
- Resolver ID
- CaltechAUTHORS:20090804-095624246
- DE-FG03-92-ER40701
- Department of Energy (DOE)
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- C-20540256
- Japan Society for the Promotion of Science (JSPS)
- Kavli Foundation
- Created
-
2009-08-05Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field
- Other Numbering System Name
- CALT
- Other Numbering System Identifier
- 68-2721