On planar gluon amplitudes/Wilson loops duality

Abstract

There is growing evidence that on-shell gluon scattering amplitudes in planar N=4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments defined by the momenta of the external gluons. This equivalence was first suggested at strong coupling using the AdS/CFT correspondence and has since been verified at weak coupling to one loop in perturbation theory. Here we perform an explicit two-loop calculation of the Wilson loop dual to the four-gluon scattering amplitude and demonstrate that the relation holds beyond one loop. We also propose an anomalous conformal Ward identity which uniquely fixes the form of the finite part (up to an additive constant) of the Wilson loop dual to four- and five-gluon amplitudes, in complete agreement with the BDS conjecture for the multi-gluon MHV amplitudes.

16 pages, 1 figure. v2: minor corrections

References in corpus (8)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Iterative Structure Within The Five-Particle Two-Loop Amplitude

Cited by in corpus (309)

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• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
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• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
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• From correlation functions to Wilson loops
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• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
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• Cluster algebras in scattering amplitudes with special 2D kinematics
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• One-loop derivation of the Wilson polygon - MHV amplitude duality
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• A note on two-loop superloop
• Supersymmetric quantum mechanics of the flux tube
• Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
• On Geometric Scaling of Light-Like Wilson Polygons: Higher Orders in ${\alpha }_s$
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• The Curious Case of Leading Transcendentality: Three Point Form Factors
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
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• Antipodal self-duality of square fishnet graphs
• Twistors, strings and supersymmetric gauge theories
• ABJM flux-tube and scattering amplitudes
• Universal structure of subleading infrared poles at strong coupling
• Impact Factors for Reggeon-Gluon Transitions
• Descent equation for superloop and cyclicity of OPE
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• Yangian symmetry of light-like Wilson loops
• Twisting perturbed parafermions
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• Supersums for all supersymmetric amplitudes
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• Discontinuities of multi-Regge amplitudes
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• A Celestial Description of Planar Super-Yang-Mills Theory
• On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD
• Discontinuites of BFKL amplitudes and the BDS ansatz
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• Wilson Loops and Integrability
• A tale of two Regge limits
• A coordinate description of partonic processes
• Duality between Wilson Loops and Scattering Amplitudes
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• Null Zig-Zag Wilson Loops in N=4 SYM
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