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Folding Amplitudes into Form Factors: An Antipodal Duality
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Folding Amplitudes into Form Factors: An Antipodal Duality
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We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar $\mathcal{N}=4$ 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.
Forward citations
Cited by 7 Pith papers
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A Graphical Coaction for FRW Integrals from Partial/Relative Twisted (Co)homology
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Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor
Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.
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Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap
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Discrete symmetries of Feynman integrals
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Proves conjectural reformulation of motivic coaction and single-valued maps via zeta generators for multiple polylogarithms at genus zero on the Riemann sphere.
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Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple mo...
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