Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution

Abstract

We consider the bosonic sl(2) sector of the maximally supersymmetric N=4 SYM model and show that anomalous dimension of the twist-3 single-trace composite operators built of scalar fields, recently calculated up to the four-loop order, can be generated by a compact reciprocity respecting evolution kernel.

18 pages, 1 eps figure

References in corpus (5)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Logarithmic scaling in gauge/string correspondence
• Anomalous dimensions of high-spin operators beyond the leading order
• Four-Loop Cusp Anomalous Dimension From Obstructions
• N=4 SUSY Yang--Mills: three loops made simple(r)

Cited by in corpus (20)

• The Collinear Limit of the Energy-Energy Correlator
• Twist-three at five loops, Bethe Ansatz and wrapping
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Four loop reciprocity of twist two operators in N=4 SYM
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Jet fragmentation and gauge/string duality
• Reciprocity of gauge operators in N=4 SYM
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Sum rules for higher twist sl(2)operators in N=4 SYM
• Magnons and BFKL
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Systematic Quark/Gluon Identification with Ratios of Likelihoods
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve