Chern-Simons Invariants of Torus Links

Details Chern-Simons Invariants of Torus Links Chern-Simons Invariants of Torus Links

2010-03-15

arxiv.org/abs/1003.2861v2

Annales Henri Poincare 11:1201-1224,2010

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 5 figures; v2: minor changes, version submitted to AHP. The final publication is available at http://www.springerl

Scientific paper

10.1007/s00023-010-0058-z

We compute the vacuum expectation values of torus knot operators in Chern-Simons theory, and we obtain explicit formulae for all classical gauge groups and for arbitrary representations. We reproduce a known formula for the HOMFLY invariants of torus links and we obtain an analogous formula for Kauffman invariants. We also derive a formula for cable knots. We use our results to test a recently proposed conjecture that relates HOMFLY and Kauffman invariants.

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