On structure constants with two spinning twist-two operators

Abstract

I consider three-point functions of one protected and two unprotected twist-two operators with spin in N=4 SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on the spins of the operators. Using such an ansatz and some input from explicit perturbative results, I fix completely various infinite sets of one-loop structure constants of these three-point functions. Finally, I determine the two-loop corrections to the structure constants for a few fixed values of the spins of the operators.

21 pages

References in corpus (30)

• Review of AdS/CFT Integrability: An Overview
• Transcendentality and Crossing
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Algorithm FIRE -- Feynman Integral REduction
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• FIRE5: a C++ implementation of Feynman Integral REduction
• The Factorized S-Matrix of CFT/AdS
• Anomalous dimensions of Wilson operators in N=4 SYM theory
• FIRE4, LiteRed and accompanying tools to solve integration by parts relations
• Hexagonalization of Correlation Functions
• Tessellating cushions: four-point functions in N=4 SYM
• Integrability and Transcendentality
• Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
• Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
• Structure constants at wrapping order
• Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• Direct Solution of Integration-by-Parts Systems
• Hexagonalization of Correlation Functions II: Two-Particle Contributions
• The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
• Handling Handles. Part II. Stratification and Data Analysis
• Towards Baxter equation in supersymmetric Yang-Mills theories
• Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories
• All five-loop planar four-point functions of half-BPS operators in $\mathcal{N}=4$ SYM
• Anomalous dimensions of leading twist conformal operators
• Extracting OPE coefficient of Konishi at four loops
• Konishi OPE coefficient at the five loop order
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• A note on three-point functions of unprotected operators

Cited by in corpus (9)

• Multipoint Bootstrap I: Light-Cone Snowflake OPE and the WL Origin
• Non-planar data of $\mathcal{N}=4$ SYM
• The Wilson Loop -- Large Spin OPE Dictionary
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• On three-point functions in ABJM and the latitude Wilson loop
• Three twist-two, two spins, two loops
• Higher-Point Correlators in N=4 SYM: Generating Functions
• Two spinning Konishi operators at three loops