Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM

Abstract

The result for the six-loop anomalous dimension of twist-three operators in the planar N=4 SYM theory is presented. The calculations were performed along the paper arXiv:0912.1624. This result provides a new data for testing the proposed spectral equations for planar AdS/CFT correspondence.

19 pages, typos corrected, details added

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• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Large spin systematics in CFT
• Yangians, S-matrices and AdS/CFT
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Twist operators in N=4 beta-deformed theory
• On wrapping corrections to GKP-like operators
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Vanishing of the four-loop charge renormalization function in N=4 SYM theory
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• ABJM quantum spectral curve and Mellin transform
• The property of maximal transcendentality: calculation of Feynman integrals
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• On interpolating anomalous dimension of twist-two operators with general spins
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability