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Dual superconformal invariance has recently emerged as a hidden symmetry ofplanar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry canbe made manifest by expressing amplitudes in terms of `momentum twistors', asopposed to the usual twistors that make the ordinary superconformal propertiesmanifest. The relation between momentum twistors and on-shell momenta isalgebraic, so the translation procedure does not rely on any choice ofspace-time signature. We show that tree amplitudes and box coefficients aresuccinctly generated by integration of holomorphic delta-functions in momentumtwistors over cycles in a Grassmannian. This is analogous to, although distinctfrom, recent results obtained by Arkani-Hamed et al. in ordinary twistor space.We also make contact with Hodges' polyhedral representation of NMHV amplitudesin momentum twistor space.

Dual Superconformal Invariance, Momentum Twistors and Grassmannians