Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM

Abstract

We consider twist-3 operators in the sl(2) sector of N=4 SYM built out of three scalar fields with derivatives. We extract from the Bethe Ansatz equations of this sector the exact lowest anomalous dimension gamma(s) of scaling fields for several values of the operator spin s. We propose compact closed expressions for the spin dependence of gamma(s) up to the four loop level and show that they obey a simple new twist-3 transcendentality principle. As a check, we reproduce the four loop universal cusp anomalous dimension governing the logarithmic large spin limit of gamma(s).

26 pages, JHEP style

References in corpus (14)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Quantum corrections to the string Bethe ansatz
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• On the highest transcendentality in N=4 SUSY
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Four-Loop Cusp Anomalous Dimension From Obstructions
• On the Strong Coupling Scaling Dimension of High Spin Operators
• A Universality Test of the Quantum String Bethe Ansatz
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Towards Baxter equation in supersymmetric Yang-Mills theories
• Integrability and non-perturbative effects in the AdS/CFT correspondence

Cited by in corpus (11)

• 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
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Four loop reciprocity of twist two operators in N=4 SYM
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory