Folding Amplitudes into Form Factors: An Antipodal Duality
Lance J. Dixon, Ömer Gürdoğan, Andrew J. McLeod, Matthias Wilhelm
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.
Topics & Concepts
Antipodal pointMultipletPhysicsDuality (order theory)Parity (physics)Tensor (intrinsic definition)Mathematical physicsAmplitudeGluonTheoretical physicsParticle physicsPure mathematicsQuantum mechanicsMathematicsQuantum chromodynamicsGeometrySpectral lineBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions