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 × ℙ1, we explicitly write down non-trivial relations between open and closed string amplitudes.
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Hatsuda, Y., Okuyama, K. Exact results for ABJ Wilson loops and open-closed duality. J. High Energ. Phys. 2016, 132 (2016). https://doi.org/10.1007/JHEP10(2016)132
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DOI: https://doi.org/10.1007/JHEP10(2016)132