Crystal Model for the Closed Topological Vertex Geometry

Details Crystal Model for the Closed Topological Vertex Geometry Crystal Model for the Closed Topological Vertex Geometry

2006-06-07

arxiv.org/abs/hep-th/0606055v2

JHEP0612:030,2006

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 7 figures; references added, classical part of flop analysis corrected and expanded

Scientific paper

10.1088/1126-6708/2006/12/030

The 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.

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