Crystal Model for the Closed Topological Vertex Geometry

dc.creatorSulkowski, Piotr
dc.date2006-06-07
dc.date2006-10-07
dc.date.accessioned2026-07-07T11:06:39Z
dc.date.available2026-07-07T11:06:39Z
dc.descriptionThe topological string partition function for the neighbourhood of three spheres meeting at one point in a Calabi-Yau threefold, the so-called 'closed topological vertex', is shown to be reproduced by a simple Calabi-Yau crystal model which counts plane partitions inside a cube of finite size. The model is derived from the topological vertex formalism. This derivation can be understood as 'moving off the strip' in the terminology of hep-th/0410174, and offers a possibility to simplify topological vertex techniques to a broader class of Calabi-Yau geometries. To support this claim a flop transition of the closed topological vertex is considered and the partition function of the resulting geometry is computed in agreement with general expectations.
dc.description26 pages, 7 figures; references added, classical part of flop analysis corrected and expanded
dc.identifierhttps://arxiv.org/abs/hep-th/0606055
dc.identifierhttp://arxiv.org/abs/hep-th/0606055
dc.identifierJHEP0612:030,2006
dc.identifierdoi:10.1088/1126-6708/2006/12/030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189588
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleCrystal Model for the Closed Topological Vertex Geometry
dc.typetext

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