Exact results for ABJ Wilson loops and open-closed duality

Abstract

We find new exact relations between the partition function and vacuum expectation values (VEVs) of 1/2 BPS Wilson loops in ABJ theory, which allow us to predict the large N expansions of the 1/2 BPS Wilson loops from known results of the partition function. These relations are interpreted as an open-closed duality where the closed string background is shifted by the insertion of Wilson loops due to a back-reaction. Using the connection between ABJ theory and the topological string on local P1 x P1, we explicitly write down non-trivial relations between open and closed string amplitudes.

34 pages

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Cited by in corpus (9)

• Wilson loops at large $N$ and the quantum M2 brane
• Dualities in ABJM Matrix Model from Closed String Viewpoint
• Giambelli Identity in Super Chern-Simons Matrix Model
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
• Fermi gas approach to general rank theories and quantum curves
• Two-Point Functions in ABJM Matrix Model
• Higher Rank ABJM Wilson Loops from Matrix Models
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas