Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory

Abstract

We argue that the scattering amplitudes in the maximally supersymmetric N=4 super-Yang-Mills theory possess a new symmetry which extends the previously discovered dual conformal symmetry. To reveal this property we formulate the scattering amplitudes as functions in the appropriate dual superspace. Rewritten in this form, all tree-level MHV and next-to-MHV amplitudes exhibit manifest dual superconformal symmetry. We propose a new, compact and Lorentz covariant formula for the tree-level NMHV amplitudes for arbitrary numbers and types of external particles. The dual conformal symmetry is broken at loop level by infrared divergences. However, we provide evidence that the anomalous contribution to the MHV and NMHV superamplitudes is the same and, therefore, their ratio is a dual conformal invariant function. We identify this function by an explicit calculation of the six-particle amplitudes at one loop. We conjecture that these properties hold for all, MHV and non-MHV, superamplitudes in N=4 SYM both at weak and at strong coupling.

58 pages

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• Duality between Wilson Loops and Scattering Amplitudes
• QCD at high energies and Yangian symmetry
• Twistor Parametrization of Locally BPS Super-Wilson Loops
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle
• A short review on TBA equation and scattering amplitude/Wilson loop duality
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes
• Approximate Universality of N=4 Super-Yang--Mills One-Loop Amplitudes
• A note on scattering amplitudes on the moduli space of ABJM
• Hexagon Bootstrap in the Double Scaling Limit
• Smooth Splitting and Zeros from On-Shell Recursion
• The Stratification of Rigidity