Skip to main content

Research Repository

Advanced Search

Wilson Loop Form Factors: A New Duality

Chicherin, Dmitry; Heslop, Paul; Korchemsky, Gregory P.; Sokatchev, Emery

Wilson Loop Form Factors: A New Duality Thumbnail


Dmitry Chicherin

Gregory P. Korchemsky

Emery Sokatchev


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.


Chicherin, D., Heslop, P., Korchemsky, G. P., & Sokatchev, E. (2018). Wilson Loop Form Factors: A New Duality. Journal of High Energy Physics, 2018(04), Article 29.

Journal Article Type Article
Acceptance Date Mar 4, 2018
Online Publication Date Apr 6, 2018
Publication Date Apr 6, 2018
Deposit Date Sep 7, 2017
Publicly Available Date Apr 18, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 04
Article Number 29
Related Public URLs


Published Journal Article (1.2 Mb)

Publisher Licence URL

Copyright 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.

You might also like

Downloadable Citations