The Four-Loop Konishi in N=4 SYM

Abstract

We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield (arXiv:0712.3522, arXiv:0806.2095) and superstring (arXiv:0807.0399) computations, which take into account finite size corrections to the all-loop asymptotic Bethe ansatz for the integrable models describing the spectrum of the anomalous dimensions of the gauge-invariant operators and the spectrum of the string states in the framework of the gauge/string duality.

7 pages, some detailes of calculations added

References in corpus (7)

• Algorithm FIRE -- Feynman Integral REduction
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Dressing and Wrapping
• Wrapping at four loops in N=4 SYM
• Four-loop beta function and mass anomalous dimension in Dimensional Reduction
• The Four-Loop Dressing Phase of N=4 SYM

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• The Quantum Deformed Mirror TBA I
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Five-loop Konishi in N=4 SYM
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• The spectral problem for strings on twisted AdS_5 x S^5
• Twisting the Mirror TBA
• The Quantum Deformed Mirror TBA II
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
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• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• Hybrid-NLIE for the AdS/CFT spectral problem
• The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Twist operators in N=4 beta-deformed theory
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• Lattice Gauge Theory for Physics Beyond the Standard Model
• Comments on the Mirror TBA
• Konishi Form Factor at Three Loop in $\mathcal{N}=4$ SYM
• Six and seven loop Konishi from Luscher corrections
• Modular interpolating functions for N=4 SYM
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• Hybrid NLIE for the Mirror AdS_5 x S^5
• Progress and prospects of lattice supersymmetry
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Exceptional Operators in N=4 super Yang-Mills
• Scaling dimensions from the mirror TBA
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
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• Vanishing of the four-loop charge renormalization function in N=4 SYM theory
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• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
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• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
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• Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator
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• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• S-duality invariant perturbation theory improved by holography
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• Exploring conformality in lattice N=4 supersymmetric Yang--Mills