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arxiv: 1003.2861 · v2 · submitted 2010-03-15 · ✦ hep-th · math.GT· math.QA

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Chern-Simons Invariants of Torus Links

S\'ebastien Stevan
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classification ✦ hep-th math.GTmath.QA
keywords invariantsformulatoruschern-simonshomflykauffmanlinksobtain
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Racah matrices for the symmetric representation of the SO(5) group

    hep-th 2026-03 unverdicted novelty 7.0

    Explicit R and Racah matrices are given for the symmetric representation of SO(5) to compute Kauffman polynomials via a generalized Reshetikhin-Turaev construction.