Built on

D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” JHEP 1208
Original
1913
Earlier work this paper cites.
C. Ahn and R. I. Nepomechie, “N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations,” JHEP 0809
Original
1924
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent and D. Volin, “Quantum Spectral Curve for Planar 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Theory,” Phys. Rev. Lett. 112
Original
1939
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for N=4 superYang-Mills,” JHEP 0303
2003
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M. Aganagic, A. Klemm, M. Marino and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
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O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810
Original
2008
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Original
2008
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J. Bagger and N. Lambert, “Gauge symmetry and supersymmetry of multiple M2-branes,” Phys. Rev. D 77
Original
2008
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O. Aharony, O. Bergman and D. L. Jafferis, “Fractional M2-branes,” JHEP 0811
Original
2008
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D. Bak, D. Gang and S. J. Rey, “Integrable Spin Chain of Superconformal U(M) x anti-U(N) Chern-Simons Theory,” JHEP 0810
Original
2008
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J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” JHEP 0809
Original
2008
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J. A. Minahan, W. Schulgin and K. Zarembo, “Two loop integrability for Chern-Simons theories with N=6 supersymmetry,” JHEP 0903
Original
2009
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Similar

N. Gromov and P. Vieira, “The all loop AdS4/CFT3 Bethe ansatz,” JHEP 0901
Original
2009
Cited alongside, same era.
J. A. Minahan, O. Ohlsson Sax and C. Sieg, “Magnon dispersion to four loops in the ABJM and ABJ models,” J. Phys. A 43
Original
2010
Cited alongside, same era.
M. Leoni, A. Mauri, J. A. Minahan, O. Ohlsson Sax, A. Santambrogio, C. Sieg and G. Tartaglino-Mazzucchelli, “Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories,” JHEP 1012
Original
2010
Cited alongside, same era.
O. Aharony, A. Hashimoto, S. Hirano and P. Ouyang, “D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades,” JHEP 1001
Original
2010
Cited alongside, same era.
D. Bombardelli, D. Fioravanti and R. Tateo, “TBA and Y-system for planar AdS(4)/CFT(3),” Nucl. Phys. B 834

Then

J. A. Minahan, O. Ohlsson Sax and C. Sieg, “A limit on the ABJ model,” J. Phys. Conf. Ser. 462
Original
2013
Later among the works it cites.
H. Awata, S. Hirano and M. Shigemori, “The Partition Function of ABJ Theory,” PTEP 2013
Original
2013
Later among the works it cites.
M. Honda, “Direct derivation of ”mirror” ABJ partition function,” JHEP 1312
Original
2013
Later among the works it cites.
N. Drukker, “Integrable Wilson loops,” JHEP 1310
Original
2013
Later among the works it cites.
A. Cavaglià, D. Fioravanti, N. Gromov and R. Tateo, “Quantum Spectral Curve of the 𝒩 = \mathcal{N}= 6 Supersymmetric Chern-Simons Theory,” Phys. Rev. Lett. 113
Original

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2016

On the Exact Interpolating Function in ABJ Theory

Cavaglià, Andrea, Gromov, Nikolay, Levkovich-Maslyuk, Fedor

Understand

Based on the recent indications of integrability in the planar ABJ model, we conjecture an exact expression for the interpolating function h(\lambda_1,\lambda_2) in this theory.

Our conjecture is based on the observation that the integrability structure of the ABJM theory given by its Quantum Spectral Curve is very rigid and does not allow for a simple consistent modification.
Under this assumption, we revised the previous comparison of localization results and exact all loop integrability calculations done for the ABJM theory by one of the authors and Grigory Sizov, fixing h(\lambda_1,\lambda_2).
We checked our conjecture against various weak coupling expansions, at strong coupling and also demonstrated its invariance under the Seiberg-like duality.