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Durham University

Centre for Particle Theory

Research Staff

Publication details for Paul Heslop

Chicherin, Dmitry, Heslop, Paul, Korchemsky, Gregory P. & Sokatchev, Emery (2018). Wilson Loop Form Factors: A New Duality. Journal of High Energy Physics 2018(04): 29.

Author(s) from Durham


We find a new duality for form factors of lightlike Wilson loops in planar
N = 4 super-Yang-Mills theory. The duality maps a form factor involving an n-sided
lightlike polygonal super-Wilson loop together with m external on-shell states, to the same
type of object but with the edges of the Wilson loop and the external states swapping
roles. This relation can essentially be seen graphically in Lorentz harmonic chiral (LHC)
superspace where it is equivalent to planar graph duality. However there are some crucial
subtleties with the cancellation of spurious poles due to gauge fixing. They are resolved
by finding the correct formulation of the Wilson loop and by careful analytic continuation
from Minkowski to Euclidean space. We illustrate all of these subtleties explicitly in the
simplest non-trivial NMHV-like case.