Crystal model for the closed topological vertex geometry
Abstract
The topological string partition function for the neighbourhood of three spheres meeting at one point in a CalabiYau threefold, the socalled 'closed topological vertex', is shown to be reproduced by a simple CalabiYau 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 hepth/0410174, and offers a possibility to simplify topological vertex techniques to a broader class of CalabiYau 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2006
 DOI:
 10.1088/11266708/2006/12/030
 arXiv:
 arXiv:hepth/0606055
 Bibcode:
 2006JHEP...12..030S
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 26 pages, 7 figures