Wilson Loop Form Factors: A New Duality

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

Abstract

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.

Citation

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. https://doi.org/10.1007/jhep04%282018%29029

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 04
• Article Number: 29
• DOI: https://doi.org/10.1007/jhep04%282018%29029
• Public URL: https://durham-repository.worktribe.com/output/1376979
• Related Public URLs: https://arxiv.org/abs/1612.05197