Folding Amplitudes into Form Factors: An Antipodal Duality

Lance J. Dixon*, Omer Gurdogan, Andrew J. McLeod, Matthias Wilhelm

*Corresponding author for this work

Research output: Contribution to journalLetterResearchpeer-review

22 Citations (Scopus)
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Abstract

We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar N = 4 super-Yang-Mills theory is dual to the six-gluon MHV amplitude on its parity-preserving surface. Up to a simple variable substitution, the map between these two quantities is given by the antipode operation defined on polylogarithms (as part of their Hopf algebra structure), which acts at symbol level by reversing the order of letters in each term. We provide evidence for this duality through seven loops.

Original languageEnglish
Article number111602
JournalPhysical Review Letters
Volume128
Issue number11
Number of pages7
ISSN0031-9007
DOIs
Publication statusPublished - 15 Mar 2022

Keywords

  • YANG-MILLS
  • PENTAGONS
  • LOOPS

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