Chern-Simons theory, the 1/N expansion, and string theory
High Energy Physics - Theory
2010-04-12 v3 Geometric Topology
Abstract
Chern-Simons theory in the 1/N expansion has been conjectured to be equivalent to a topological string theory. This conjecture predicts a remarkable relationship between knot invariants and Gromov-Witten theory. We review some basic aspects of this relationship, as well as the tests of this conjecture performed over the last ten years. Particular attention is given to indirect tests based on integrality conjectures, both for the HOMFLY and for the Kauffman invariants of links.
Keywords
Cite
@article{arxiv.1001.2542,
title = {Chern-Simons theory, the 1/N expansion, and string theory},
author = {Marcos Marino},
journal= {arXiv preprint arXiv:1001.2542},
year = {2010}
}
Comments
Talk given at the workshop Chern-Simons Gauge Theory: 20 years after, August 3-7 2009, Hausdorff Center for Mathematics. 18 pages, 11 eps figures; typos corrected, references added