Emergent Calabi-Yau Geometry

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dc.creatorOoguri, Hirosi
dc.creatorYamazaki, Masahito
dc.date2009-02-24
dc.date2009-05-13
dc.date.accessioned2026-07-07T13:13:56Z
dc.date.available2026-07-07T13:13:56Z
dc.descriptionWe 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.
dc.description4 pages; v2: revised discussion on wall crossing; v3: typos corrected, published version
dc.identifierhttps://arxiv.org/abs/0902.3996
dc.identifierhttp://arxiv.org/abs/0902.3996
dc.identifierPhys.Rev.Lett.102:161601,2009
dc.identifierdoi:10.1103/PhysRevLett.102.161601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230054
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleEmergent Calabi-Yau Geometry
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