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Wilson loop form factors : a new duality.

Chicherin, Dmitry and Heslop, Paul and Korchemsky, Gregory P. and Sokatchev, Emery (2018) 'Wilson loop form factors : a new duality.', Journal of high energy physics., 2018 (04). 029.


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.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:04 March 2018
Date deposited:18 April 2018
Date of first online publication:06 April 2018
Date first made open access:No date available

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