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2018

On analytical perturbative solution of ABJM quantum spectral curve

Lee, R. N., Onishchenko, A. I.

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Recently we showed how non-homogeneous second-order difference equations appearing within ABJM quantum spectral curve description could be solved using Mellin space technique.

In particular we provided explicit results for anomalous dimensions of twist 1 operators in sl(2) sector at arbitrary spin values up to four loop order.
It was shown that the obtained results may be expressed in terms of harmonic sums decorated by fourth root of unity factors, so that maximum transcendentality principle holds.
In this note we show that the same result could be also obtained by direct solution of the mentioned equations in spectral parameter u-space.

On analytical perturbative solution of ABJM quantum spectral curve · Around

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D. Correa, J. Maldacena, and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” JHEP
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
Original
1924
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent, and D. Volin, “Quantum Spectral Curve for Planar 𝒩 = \mathcal{N}= Super-Yang-Mills Theory,” Phys. Rev. Lett
Original
1939
Earlier work this paper cites.
G. ’t Hooft, “A Planar Diagram Theory for Strong Interactions,” Nucl. Phys
1974
Earlier work this paper cites.
A. B. Zamolodchikov, “’Fishnet’ diagrams as a completely integrable system,” Phys. Lett
1980
Earlier work this paper cites.
[Adv. Theor. Math. Phys.2,231(1998)]
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys · 1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for N=4 superYang-Mills,” JHEP
2003
Earlier work this paper cites.
N. Beisert and M. Staudacher, “The N=4 SYM integrable super spin chain,” Nucl. Phys
2003
Earlier work this paper cites.
G. Arutyunov, S. Frolov, and M. Staudacher, “Bethe ansatz for quantum strings,” JHEP
2004
Earlier work this paper cites.
[Erratum: Nucl. Phys.B685,405(2004)]
A. V. Kotikov and L. N. Lipatov, “DGLAP and BFKL equations in the N = 4 N=4 supersymmetric gauge theory,” Nucl. Phys · 2004
Earlier work this paper cites.
M. Staudacher, “The Factorized S-matrix of CFT/AdS,” JHEP
2005
Earlier work this paper cites.
N. Beisert and M. Staudacher, “Long-range p s u ( 2 , 2 | 4 ) psu(2,2|4) Bethe Ansatze for gauge theory and strings,” Nucl. Phys
2005
Earlier work this paper cites.
R. A. Janik, “The AdS(5) x S**5 superstring worldsheet S-matrix and crossing symmetry,” Phys. Rev
2006
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “On AdS(5) x S**5 String S-matrix,” Phys. Lett
2006
Earlier work this paper cites.
[Erratum: Phys. Lett.B632,754(2006)]
A. V. Kotikov, L. N. Lipatov, A. I. Onishchenko, and V. N. Velizhanin, “Three loop universal anomalous dimension of the Wilson operators in N = 4 N=4 SUSY Yang-Mills model,” Phys. Lett · 2006
Earlier work this paper cites.
N. Beisert, “The Analytic Bethe Ansatz for a Chain with Centrally Extended s u ( 2 | 2 ) su(2|2) Symmetry,” J. Stat. Mech
2007
Earlier work this paper cites.
N. Beisert, B. Eden, and M. Staudacher, “Transcendentality and Crossing,” J. Stat. Mech
2007
Earlier work this paper cites.
G. Arutyunov, S. Frolov, and M. Zamaklar, “The Zamolodchikov-Faddeev algebra for AdS(5) x S**5 superstring,” JHEP
2007
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP
Original
2008
Earlier work this paper cites.
N. Beisert, “The S U ( 2 | 2 ) SU(2|2) dynamic S-matrix,” Adv. Theor. Math. Phys
2008
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” JHEP
Original
2008
Earlier work this paper cites.
M. A. Bandres, A. E. Lipstein, and J. H. Schwarz, “Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry,” JHEP
Original
2008
Earlier work this paper cites.
D. Gaiotto, S. Giombi, and X. Yin, “Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory,” JHEP
Original
2009
Earlier work this paper cites.
N. Gromov and P. Vieira, “The all loop AdS4/CFT3 Bethe ansatz,” JHEP
Original
2009
Earlier work this paper cites.
N. Gromov, V. Kazakov, and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
D. Bombardelli, D. Fioravanti, and R. Tateo, “Thermodynamic Bethe Ansatz for planar AdS/CFT: A Proposal,” J. Phys
Original
2009
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “Thermodynamic Bethe Ansatz for the AdS(5) x S(5) Mirror Model,” JHEP
Original
2009
Earlier work this paper cites.
G. Grignani, T. Harmark, and M. Orselli, “The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory,” Nucl. Phys
Original
2009
Earlier work this paper cites.
M. Beccaria and G. Macorini, “QCD properties of twist operators in the N=6 Chern-Simons theory,” JHEP
Original
2009
Earlier work this paper cites.
N. Gromov, V. Kazakov, A. Kozak, and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang-Mills Theory: TBA and excited states,” Lett. Math. Phys
Original
2010
Earlier work this paper cites.
D. Bombardelli, D. Fioravanti, and R. Tateo, “TBA and Y-system for planar AdS(4)/CFT(3),” Nucl. Phys
Original
2010
Earlier work this paper cites.
N. Gromov and F. Levkovich-Maslyuk, “Y-system, TBA and Quasi-Classical strings in AdS(4) x CP3,” JHEP
Original
2010
Earlier work this paper cites.

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