Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM

Abstract

We present the result of a full direct component calculation for the term proportional to zeta(5) in the four-loop universal anomalous dimension of the twist-2 operators in N =4 supersymmetric Yang-Mills theory for the first three even moments. We suggest the general form such contribution for the arbitrary Lorentz spin of the twist-2 operators.

7 pages, minor changes

References in corpus (10)

• Algorithm FIRE -- Feynman Integral REduction
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Dressing and Wrapping
• Wrapping at four loops in N=4 SYM
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The Four-Loop Konishi in N=4 SYM
• The Four-Loop Dressing Phase of N=4 SYM
• Anomalous dimensions of twist-2 conformal operators in supersymmetric Wess-Zumino model

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• Wronskian Solution for AdS/CFT Y-system
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Y-system and beta-deformed N=4 Super-Yang-Mills
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• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
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• The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory
• Finite size corrections for open strings/open chains in 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
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Riemann $\zeta (3)$- terms in perturbative QED series, conformal symmetry and the analogies with structures of multiloop effects in N=4 supersymmetric Yang-Mills theory
• Twist-2 at five loops: Wrapping corrections without wrapping computations
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