Antipodal self-duality for a four-particle form factor
Antipodal self-duality for a four-particle form factor
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar 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.
Dixon, Lance J.
15a864dc-90a4-44fc-894a-0710572f495c
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
Liu, Yu-Ting
daa76f68-cee9-4b56-87dc-05f094f06c25
McLeod, Andrew J.
822e2024-9f9a-4c77-a214-845fe6f057c9
Wilhelm, Matthias
9ba2dd4e-9eaa-42ae-a343-9a7501268c94
5 December 2022
Dixon, Lance J.
15a864dc-90a4-44fc-894a-0710572f495c
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
Liu, Yu-Ting
daa76f68-cee9-4b56-87dc-05f094f06c25
McLeod, Andrew J.
822e2024-9f9a-4c77-a214-845fe6f057c9
Wilhelm, Matthias
9ba2dd4e-9eaa-42ae-a343-9a7501268c94
[Unknown type: UNSPECIFIED]
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 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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Published date: 5 December 2022
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Local EPrints ID: 474479
URI: http://eprints.soton.ac.uk/id/eprint/474479
PURE UUID: 44ada20f-dab7-4ce9-851c-9c5e9725c0ed
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Date deposited: 22 Feb 2023 21:36
Last modified: 22 Feb 2023 21:36
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Author:
Lance J. Dixon
Author:
Yu-Ting Liu
Author:
Andrew J. McLeod
Author:
Matthias Wilhelm
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