| Texto completo | |
| Autor(es): |
Szabo, Richard J.
;
Trojani, Guillaume
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | SYMMETRY-BASEL; v. 15, n. 8, p. 73-pg., 2023-08-01. |
| Resumo | |
We discuss the double-copy formulation of Moyal-Weyl-type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of L infinity-algebras. We define new noncommutative scalar field theories with rigid colour symmetries taking the role of the zeroth copy, where the deformed colour algebra plays the role of a kinematic algebra; some of these theories have a trivial classical limit but exhibit colour-kinematics duality, from which we construct the double copy theory explicitly. We show that noncommutative gauge theories exhibit a twisted form of colour-kinematics duality, which we use to show that their double copies match with the commutative case. We illustrate this explicitly for Chern-Simons theory, and for Yang-Mills theory where we obtain a modified Kawai-Lewellen-Tye relationship whose momentum kernel is linked to a binoncommutative biadjoint scalar theory. We reinterpret rank-one noncommutative gauge theories as double copy theories and discuss how our findings tie in with recent discussions of Moyal-Weyl deformations of self-dual Yang-Mills theory and gravity. (AU) | |
| Processo FAPESP: | 21/09313-8 - Álgebras de homotopia, imersões simpléticas e Teoria de Gauge não comutativa |
| Beneficiário: | Vladislav Kupriyanov |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |