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

Kaul, RK and Govindarajan, TR (1991) Three Dimensional Chern-Simons Theory as a Theory of Knots and Links. [Preprint]

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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)$_k$ 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.

Item Type:	Preprint
Additional Information:	Nucl.Phys. B380 (1992) 293-336
Keywords:	Quantum Algebra
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	25 Aug 2008
Last Modified:	19 Sep 2010 04:13
URI:	http://eprints.iisc.ac.in/id/eprint/926

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