Hexagon Wilson loop = six-gluon MHV amplitude

Abstract

We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich (arXiv:0803.1465 [hep-th]) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a non-trivial function of (dual) conformal kinematical invariants. This provides strong evidence that the Wilson loop/scattering amplitude duality holds in planar N=4 SYM theory to all loops for an arbitrary number of external particles.

34 pages, 3 figures; v2: appendix added, minor corrections made, new references inserted

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Cited by in corpus (19)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Integrability of scattering amplitudes in N=4 SUSY
• Two-loop graviton scattering relation and IR behavior in N=8 supergravity
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
• Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling
• First-quantized N=4 Yang-Mills
• Higher point MHV amplitudes in N=4 Supersymmetric Yang-Mills Theory
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• Twistors, strings and supersymmetric gauge theories
• A Note on Loop Amplitudes in QED
• Theoretical Developments in SUSY
• MHV amplitudes, Wilson loops and the BDS ansatz in the superconformal N=2 QCD