Knots, links and branes at large N
High Energy Physics - Theory
2009-10-31 v1 Quantum Algebra
Abstract
We consider Wilson loop observables for Chern-Simons theory at large N and its topological string dual and extend the previous checks for this duality to the case of links. We find an interesting structure involving representation/spin degeneracy of branes ending on branes which features in the large N dual description of Chern-Simons theory. This leads to a refinement of the integer invariants for links and knots. We illustrate our results with explicit computations on the Chern-Simons side.
Keywords
Cite
@article{arxiv.hep-th/0010102,
title = {Knots, links and branes at large N},
author = {J. M. F. Labastida and Marcos Marino and Cumrun Vafa},
journal= {arXiv preprint arXiv:hep-th/0010102},
year = {2009}
}
Comments
46 pages, 1 figure, harvmac