| Autor: |
Nikolaos Dokmetzoglou, Louise Dolan |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2023, Iss 2, Pp 1-31 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP02(2023)137 |
| Popis: |
Abstract Properties of the SO(2, n) Yangian acting on scalar and gauge fields are presented. This differential operator representation of the infinite-dimensional extension of the conformal algebra SO(2, n) is proved to satisfy the Serre relation for arbitrary spacetime dimension n for off-shell scalar theory, but only on shell and for n = 4 in the gauge theory. The SO(2, n) Yangian acts simply on the off-shell kinematic invariants (k I + k I+1 + …)2, and it annihilates individual off-shell scalar λϕ 3 Feynman tree graphs for n = 6 if the differential operator representation is extended by graph dependent evaluation terms. The SO(2, 4) Yangian level one generators are shown to act in a compact way on pure Yang- Mills gluon tree amplitudes. The action of the Yangian on the scattering polynomials of a CHY formalism is also described. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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