Three-dimensional Chern-Simons theory as a theory of knots and links

Kaul, R. K. ; Govindarajan, T. R. (1992) Three-dimensional Chern-Simons theory as a theory of knots and links Nuclear Physics - Section B: Particle Physics, Field Theory and Statistical Systems, Physical Mathematics, 380 (1-2). pp. 293-333. ISSN 0550-3213

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/055032...

Related URL: http://dx.doi.org/10.1016/0550-3213(92)90524-F

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.

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ID Code:16433
Deposited On:15 Nov 2010 13:40
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