Knot invariants and topological strings

  title={Knot invariants and topological strings},
  author={Hirosi Ooguri and Cumrun Vafa},
We find further evidence for the conjecture relating large N Chern-Simons theory on S with topological string on the resolved conifold geometry by showing that the Wilson loop observable of a simple knot on S (for any representation) agrees to all orders in N with the corresponding quantity on the topological string side. For a general knot, we find a reformulation of the knot invariant in terms of new integral invariants, which capture the spectrum (and spin) of M2 branes ending on M5 branes… CONTINUE READING

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