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Crystal model for the closed topological vertex geometry
- Source :
- Journal of High Energy Physics. 2006:030-030
- Publication Year :
- 2006
- Publisher :
- Springer Science and Business Media LLC, 2006.
-
Abstract
- 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.<br />Comment: 26 pages, 7 figures; references added, classical part of flop analysis corrected and expanded
- Subjects :
- High Energy Physics - Theory
Physics
Nuclear and High Energy Physics
FOS: Physical sciences
Topology
Vertex (geometry)
Scattering amplitude
Mathematics - Algebraic Geometry
Formalism (philosophy of mathematics)
Mathematics::Algebraic Geometry
High Energy Physics - Theory (hep-th)
Crystal model
Flop-transition
FOS: Mathematics
SPHERES
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
Subjects
Details
- ISSN :
- 10298479
- Volume :
- 2006
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....c31aa49e35724f5e7d8bb520e7b0aa40