Knot Invariants and Topological Strings

作者: Cumrun Vafa , Hirosi Ooguri

DOI: 10.1016/S0550-3213(00)00118-8

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摘要: We find further evidence for the conjecture relating large N Chern-Simons theory on S^3 with topological string resolved conifold geometry by showing that Wilson loop observable of a simple knot (for any representation) agrees to all orders in corresponding quantity side. For general knot, we reformulation invariant terms new integral invariants, which capture spectrum (and spin) M2 branes ending M5 embedded geometry. also an intriguing link between invariants and superpotential generated worldsheet instantons N=1 supersymmetric theories 4 dimensions.

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