Wilson Loops, Scattering Amplitudes and Dual Conformal Symmetry in N=4 SYM

Valya Khoze

IPPP, Durham University

Wed, Mar. 04th 2009, 14:15

Salle Claude Itzykson, Bât. 774, Orme des Merisiers

Motivated by the remarkable agreement between the finite part of planar six-point MHV amplitudes and hexagon lightlike Wilson loops, I'll introduce a novel computation of general n-sided polygon Wilson loops at two-loop level. For n up to n=6 we confirm the previously known results, and provide new results for n=7 and 8. For n=6,7,8 and beyond we confirm that the ABDK/BDS ansatz must be corrected by a remainder function, which we compute and give numerical evidence that it is conformally invariant. We also study multi-collinear limits and show that for all n Wilson loops behave precisely as the scattering amplitudes do at two-loop level, thus giving strong evidence to their conjectured equivalence.

Contact : mcirelli