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arxiv: hep-th/0010102 · v1 · submitted 2000-10-12 · ✦ hep-th · math.QA

Knots, links and branes at large N

classification ✦ hep-th math.QA
keywords braneschern-simonslargelinksdualknotstheorycase
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We consider Wilson loop observables for Chern-Simons theory at large N and its topological string dual and extend the previous checks for this duality to the case of links. We find an interesting structure involving representation/spin degeneracy of branes ending on branes which features in the large N dual description of Chern-Simons theory. This leads to a refinement of the integer invariants for links and knots. We illustrate our results with explicit computations on the Chern-Simons side.

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    Authors introduce the HZ character expansion of the HOMFLY-PT polynomial, identify hook diagrams for factorisability, and construct an infinite family of HZ-factorisable hyperbolic knots via full, partial-full, and Ju...