Wilson loops and dual superconformal symmetry of scattering amplitudes in N=4 SYM

by Prof. James Drummond (LAPP, Annecy)

Thursday 16 Oct 2008, 11:00 → 12:00 Europe/Zurich

1/1-025 (CERN)

Part I: discussion of recent papers. Some suggestions: "Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region " (Beneke, Huber, Li arXiv:0810.1230); Arkani-Hamed & co "Title: LHC Signals for a SuperUnified Theory of Dark Matter" trilogy (arXiv:0810.0722, arXiv:0810.0714, arXiv:0810.0713). Part II: chalkboard talk by James Drummond: Recently, we have found strong evidence for an equivalence between maximally-helicity-violating (MHV) amplitudes and Wilson loops in N=4 SYM. This implies a surprising dual conformal symmetry of MHV amplitudes which is strong enough to fix the all-loop form of four-point and five-point amplitudes via an anomalous Ward identity. This symmetry can be extended to a dual superconformal symmetry of all amplitudes (including non-MHV) and I will show explicitly how it is realised at tree level and for loop corrections.