Built on

T. Ohrndorf, “Constraints From Conformal Covariance On The Mixing Of Operators Of Lowest Twist,” Nucl. Phys. B 198
1982
Earlier work this paper cites.
G. P. Korchemsky, “Asymptotics of the Altarelli-Parisi-Lipatov Evolution Kernels of Parton Distributions,” Mod. Phys. Lett. A 4
1993
Earlier work this paper cites.
G. P. Korchemsky and G. Marchesini, “Resummation of large infrared corrections using Wilson loops,” Phys. Lett. B 313
1993
Earlier work this paper cites.
S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, “Three point functions of chiral operators in D = 4, N=4 SYM at large N,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
G. Arutyunov, S. Frolov and A. C. Petkou, “Operator product expansion of the lowest weight CPOs in N=4 SYM(4) at strong coupling,” Nucl. Phys. B 586
2001
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L. F. Alday, J. R. David, E. Gava and K. S. Narain, “Structure constants of planar N = 4 Yang Mills at one loop,” JHEP 0509
2005
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial wave expansions for N=4 chiral four point functions,” Annals Phys. 321
2006
Earlier work this paper cites.

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Then

J. Ablinger, A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics, Diploma Thesis, arXiv:1011.1176 [math-ph]; J. Ablinger, J. Blümlein and C. Schneider, J. Math. Phys. 52
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2011
Later among the works it cites.
N. Beisert, C. Ahn, L. F. Alday, Z. Bajnok, J. M. Drummond, L. Freyhult, N. Gromov and R. A. Janik et al
Original
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Later among the works it cites.
J. Plefka and K. Wiegandt, “Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop,” JHEP 1210
Original
2012
Later among the works it cites.
Y. Kazama and S. Komatsu, “On holographic three point functions for GKP strings from integrability,” JHEP 1201
Original
2012
Later among the works it cites.
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2013

Higher-spin correlators

Alday, Luis F., Bissi, Agnese

Understand

We analyze the properly normalized three-point correlator of two protected scalar operators and one higher spin twist-two operator in N=4 super Yang-Mills, in the limit of large spin j.

The relevant structure constant can be extracted from the OPE of the four-point correlator of protected scalar operators.
We show that crossing symmetry of the four point correlator plus a judicious guess for the perturbative structure of the three-point correlator, allow to make a prediction for the structure constant at all loops in perturbation theory, up to terms that remain finite as the spin becomes large.
Furthermore, the expression for the structure constant allows to propose an expression for the all loops four-point correlator G(u,v), in the limit u,v -> 0.

Built on

T. Ohrndorf, “Constraints From Conformal Covariance On The Mixing Of Operators Of Lowest Twist,” Nucl. Phys. B 198
1982
Earlier work this paper cites.
G. P. Korchemsky, “Asymptotics of the Altarelli-Parisi-Lipatov Evolution Kernels of Parton Distributions,” Mod. Phys. Lett. A 4
1993
Earlier work this paper cites.
G. P. Korchemsky and G. Marchesini, “Resummation of large infrared corrections using Wilson loops,” Phys. Lett. B 313
1993
Earlier work this paper cites.
S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, “Three point functions of chiral operators in D = 4, N=4 SYM at large N,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
G. Arutyunov, S. Frolov and A. C. Petkou, “Operator product expansion of the lowest weight CPOs in N=4 SYM(4) at strong coupling,” Nucl. Phys. B 586
2001
Earlier work this paper cites.
L. F. Alday, J. R. David, E. Gava and K. S. Narain, “Structure constants of planar N = 4 Yang Mills at one loop,” JHEP 0509
2005
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial wave expansions for N=4 chiral four point functions,” Annals Phys. 321
2006
Earlier work this paper cites.