Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory

Abstract

Relying on a few lowest order perturbative calculations of anomalous dimensions of gauge invariant operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in maximally supersymmetric gauge theory, we propose an all-loop generalization of the Baxter equation which determines their spectrum. The equation does not take into account wrapping effects and is thus asymptotic in character. We develop an asymptotic expansion of the deformed Baxter equation for large values of the conformal spin and derive an integral equation for the cusp anomalous dimension.

Latex, 11 pages

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Cited by in corpus (36)

• Transcendentality and Crossing
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
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• On the Strong Coupling Scaling Dimension of High Spin Operators
• Exciting the GKP string at any coupling
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Bootstrapping Null Polygon Wilson Loops
• Twist-three at five loops, Bethe Ansatz and wrapping
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Nonsinglet pentagons and NMHV amplitudes
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
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• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• The virtual scaling function of AdS/CFT
• The Resurgence of the Cusp Anomalous Dimension
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Analytic solution of the multiloop Baxter equation
• Luescher formula for GKP string
• Baxter equation for long-range SL(2|1) magnet
• Strong coupling expansion of Baxter equation in N=4 SYM
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Exceptional Operators in N=4 super Yang-Mills
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• The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
• Gauge-String Dualities and Some Applications