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Knot invariants and Calabi-Yau crystals
- Source :
- ResearcherID
- Publication Year :
- 2005
- Publisher :
- arXiv, 2005.
-
Abstract
- We show that Calabi-Yau crystals generate certain Chern-Simons knot invariants, with Lagrangian brane insertions generating the unknot and Hopf link invariants. Further, we make the connection of the crystal brane amplitudes to the topological vertex formulation explicit and show that the crystal naturally resums the corresponding topological vertex amplitudes. We also discuss the conifold and double wall crystal model in this context. The results suggest that the free energy associated to the crystal brane amplitudes can be simply expressed as a target space Gopakumar-Vafa expansion.<br />Comment: 39 pages, 8 figures
- Subjects :
- Physics
High Energy Physics - Theory
Nuclear and High Energy Physics
Conifold
FOS: Physical sciences
Crystal
High Energy Physics::Theory
High Energy Physics - Theory (hep-th)
Hopf link
Crystal model
Calabi–Yau manifold
Brane
Unknot
Mathematics::Symplectic Geometry
Mathematical physics
Knot (mathematics)
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- ResearcherID
- Accession number :
- edsair.doi.dedup.....19ce79ead5e6f235c6415207c60822f5
- Full Text :
- https://doi.org/10.48550/arxiv.hep-th/0506230