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arXiv · hep-th/0010102

Knots, links and branes at large N

J. M. F. Labastida·Marcos Marino·Cumrun Vafa
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Abstract

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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J. M. F. Labastida, Marcos Marino, Cumrun Vafa. 2000-10-12. Knots, links and branes at large N. https://doi.org/10.1088/1126-6708%2F2000%2F11%2F007

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