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Folding Amplitudes into Form Factors: An Antipodal Duality

We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar <math display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math> super-Yang-Mills theory is dual to the six-glu...

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Detalles Bibliográficos
Autores principales: Dixon, Lance J., Gurdogan, Omer, McLeod, Andrew J., Wilhelm, Matthias
Lenguaje:eng
Publicado: 2021
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.128.111602
http://cds.cern.ch/record/2798096
Descripción
Sumario:We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar <math display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math> 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.