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2004
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M. Aganagic, A. Klemm, M. Marino and C. Vafa, “The Topological vertex,” Commun. Math. Phys. 254
2005
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M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino and C. Vafa, “Topological strings and integrable hierarchies,” Commun. Math. Phys. 261
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2008
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2008
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2008
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2010
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Similar

H. Fuji, S. Hirano and S. Moriyama, “Summing Up All Genus Free Energy of ABJM Matrix Model,” JHEP 1108
Original
2011
Cited alongside, same era.
V. Pestun, “Localization of gauge theory on a four-sphere and supersymmetric Wilson loops,” Commun. Math. Phys. 313
Original
2012
Cited alongside, same era.
D. L. Jafferis, “The Exact Superconformal R-Symmetry Extremizes Z,” JHEP 1205
Original
2012
Cited alongside, same era.
M. Marino and P. Putrov, “ABJM theory as a Fermi gas,” J. Stat. Mech. 1203
Original
2012
Cited alongside, same era.
M. Hanada, M. Honda, Y. Honma, J. Nishimura, S. Shiba and Y. Yoshida, “Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant,” JHEP 1205

Then

S. Hirano, K. Nii and M. Shigemori, “ABJ Wilson loops and Seiberg duality,” PTEP 2014
Original
2014
Later among the works it cites.
Y. Hatsuda and K. Okuyama, “Probing non-perturbative effects in M-theory,” JHEP 1410
Original
2014
Later among the works it cites.
M. x. Huang and X. f. Wang, “Topological Strings and Quantum Spectral Problems,” JHEP 1409
Original
2014
Later among the works it cites.
S. Moriyama and T. Nosaka, “Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach,” JHEP 1411
Original
2014
Later among the works it cites.
Y. Hatsuda, S. Moriyama and K. Okuyama, “Exact instanton expansion of the ABJM partition function,” PTEP 2015

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2016

Exact results for ABJ Wilson loops and open-closed duality

Hatsuda, Yasuyuki, Okuyama, Kazumi

Understand

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.