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arXiv · 2212.02410

Antipodal Self-Duality for a Four-Particle Form Factor

Lance J. Dixon·Ömer Gürdoğan·Yu-Ting Liu·Andrew J. McLeod·Matthias Wilhelm
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Abstract

We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory at two loops. When minimally normalized, this symbol involves only 34 letters and obeys the extended Steinmann relations in all partially-overlapping three-particle momentum channels. In addition, the remainder function for this form factor exhibits an antipodal self-duality: it is invariant under the combined operation of the antipodal map defined on multiple polylogarithms -- which reverses the order of the symbol letters -- and a simple kinematic map. This self-duality holds on a four-dimensional parity-preserving kinematic hypersurface. It implies the antipodal duality recently noticed between the three-particle form factor and the six-particle amplitude in this theory.

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Lance J. Dixon, Ömer Gürdoğan, Yu-Ting Liu, Andrew J. McLeod, Matthias Wilhelm. 2022-12-05. Antipodal Self-Duality for a Four-Particle Form Factor. https://doi.org/10.1103/physrevlett.130.111601

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