Antipodal Self-Duality for a Four-Particle Form Factor
| Autor: | Dixon, Lance J., Gürdoğan, Ömer, Liu, Yu-Ting, McLeod, Andrew J., Wilhelm, Matthias |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.130.111601 |
| Popis: | 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. Comment: 9 pages, 1 figure and 1 table. v2: minor clarifications, references added, journal version. v3: ancillary file containing 3 loop symbol added |
| Databáze: | arXiv |
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