Emergent Calabi-Yau Geometry

Details Emergent Calabi-Yau Geometry Emergent Calabi-Yau Geometry

2009-02-24

arxiv.org/abs/0902.3996v3

Phys.Rev.Lett.102:161601,2009

Physics

High Energy Physics

High Energy Physics - Theory

4 pages; v2: revised discussion on wall crossing; v3: typos corrected, published version

Scientific paper

10.1103/PhysRevLett.102.161601

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 arXiv:0811.2801. 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.

Affiliated with

Also associated with

No associations

Rating

Emergent Calabi-Yau Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Emergent Calabi-Yau Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Emergent Calabi-Yau Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171250