The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory

Abstract

We present the result of a full direct component calculation for the non-planar contribution to the four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. The result contains only zeta(5) term and is proportional to zeta(5) contribution in the planar case, which comes purely from wrapping corrections. We have extended also our previous calculations for the leading transcendental contribution arXiv:0811.0607 on non-planar case and have found the same results up to a common factor. It allows us to suggest that the non-planar contribution to the four-loop universal anomalous dimension for the twist-2 operators with arbitrary Lorentz spin is proportional to $S_1^2(j)\zeta (5)$. This result gives unusual double-logarithmic asymptotic ${\ln }^{2}j$ for large j.

7 pages, axodraw style

References in corpus (12)

• Algorithm FIRE -- Feynman Integral REduction
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Comments on operators with large spin
• Dressing and Wrapping
• Four loop twist two, BFKL, wrapping and strings
• Wrapping at four loops in N=4 SYM
• The Four-Loop Konishi in N=4 SYM
• Twist-three at five loops, Bethe Ansatz and wrapping
• Tree-Level Amplitudes in N=8 Supergravity
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM

Cited by in corpus (20)

• More $\mathcal{N}=4$ superconformal bootstrap
• Five-loop Konishi in N=4 SYM
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD
• Resummation and S-duality in N=4 SYM
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• Non-planar data of $\mathcal{N}=4$ SYM
• Konishi Form Factor at Three Loop in $\mathcal{N}=4$ SYM
• Vanishing of the four-loop charge renormalization function in N=4 SYM theory
• 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
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Negative anomalous dimensions in N=4 SYM
• S-duality invariant perturbation theory improved by holography
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Wrapping effects in supersymmetric gauge theories