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Knots, links and branes at large N

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arxiv hep-th/0010102 v1 pith:3IRCZP7E submitted 2000-10-12 hep-th math.QA

Knots, links and branes at large N

classification hep-th math.QA
keywords braneschern-simonslargelinksdualknotstheorycase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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