A double copy for asymptotic symmetries in the self-dual sector

We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitationa...

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Detalles Bibliográficos
Autores: Campiglia Curcho, Miguel, Nagy, Silvia
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Uruguay
Institución:Universidad de la República
Repositorio:COLIBRI
Idioma:inglés
OAI Identifier:oai:colibri.udelar.edu.uy:20.500.12008/33235
Acceso en línea:https://hdl.handle.net/20.500.12008/33235
Access Level:acceso abierto
Palabra clave:Gauge Symmetry
Space-Time Symmetries
Classical Theories of Gravity
Integrable Field Theories
Descripción
Sumario:We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitational side. For the first one, we find novel non-perturbative double copy rules in the bulk. The second family has a more striking structure, as a non-perturbative gravitational symmetry is obtained from a perturbatively defined symmetry on the YM side. At null infinity, we find the YM origin of the subset of extended Bondi-Metzner-Sachs (BMS) symmetries that preserve the self-duality condition. In particular, holomorphic large gauge YM symmetries are double copied to holomorphic supertranslations. We also identify the single copy of superrotations with certain non-gauge YM transformations that to our knowledge have not been previously presented in the literature.