Three Dimensional Chern-Simons Theory as a Theory of Knots and Links
High Energy Physics - Theory
2009-10-22 v1 Quantum Algebra
Abstract
Three dimensional SU(2) Chern-Simons theory has been studied as a topological field theory to provide a field theoretic description of knots and links in three dimensions. A systematic method has been developed to obtain the link-invariants within this field theoretic framework. The monodromy properties of the correlators of the associated Wess-Zumino SU(2) conformal field theory on a two-dimensional sphere prove to be useful tools. The method is simple enough to yield a whole variety of new knot invariants of which the Jones polynomials are the simplest example.
Keywords
Cite
@article{arxiv.hep-th/9111063,
title = {Three Dimensional Chern-Simons Theory as a Theory of Knots and Links},
author = {R. K. Kaul and T. R. Govindarajan},
journal= {arXiv preprint arXiv:hep-th/9111063},
year = {2009}
}
Comments
45 pages (without figures)