D-branes and the planar limit of Chern-Simons theory I: Link invariants

Abstract

We revisit the Holographic duality between $SU(N)_\kappa$ Chern-Simons theory and the A-model Topological String Theory. We develop a strategy to systematically compute the large $N$ saddles for correlation functions of Wilson lines in antisymmetric powers $\Lambda^\bullet \mathbb{C}^N$ of the fundamental representation. The mathematical structures which appear in the calculation match in detail the data of dual A-model D-branes.

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