Knot invariants and Calabi-Yau crystals

Details Knot invariants and Calabi-Yau crystals Knot invariants and Calabi-Yau crystals

2005-06-27

arxiv.org/abs/hep-th/0506230v1

JHEP 0601 (2006) 040

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 8 figures

Scientific paper

10.1088/1126-6708/2006/01/040

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.

Affiliated with

Also associated with

No associations

Rating

Knot invariants and Calabi-Yau crystals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Knot invariants and Calabi-Yau crystals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Knot invariants and Calabi-Yau crystals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-646373