Three Dimensional Chern-Simons Theory as a Theory of Knots and Links

Details Three Dimensional Chern-Simons Theory as a Theory of Knots and Links Three Dimensional Chern-Simons Theory as a Theory of Knots and Links

1991-11-28

arxiv.org/abs/hep-th/9111063v1

Nucl.Phys. B380 (1992) 293-336

Physics

High Energy Physics

High Energy Physics - Theory

45 pages (without figures)

Scientific paper

10.1016/0550-3213(92)90524-F

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)$_k$ 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.

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