Five-Loop Anomalous Dimension of Twist-Two Operators

Abstract

In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N=4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the AdS5xS5 sigma model to determine the wrapping correction. The anomalous dimension found in this way passes all known tests provided by the NLO BFKL equation and double-logarithmic constraints. This result thus furnishes an infinite number of experimental data for testing the veracity of the recently proposed spectral equations for planar AdS/CFT correspondence.

43 pages; v2: references added, minor changes in the text

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• Multiple zeta functions and double wrapping in planar N=4 SYM
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• 5-loop Konishi from linearized TBA and the XXX magnet
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• Pomeron in the N=4 supersymmetric gauge model at strong couplings
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
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• Luescher formula for GKP string
• The property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills
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• Wilson loop OPE, analytic continuation and multi-Regge limit
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
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• Quasi-local formulation of the mirror TBA
• ABJM quantum spectral curve and Mellin transform
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Large spin behavior of anomalous dimensions and short-long strings duality
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Large-Spin Expansions of GKP Strings
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