2020/04/22 by Geoffrey Compère, Adrien Fiorucci, Romain Ruzziconi · 139 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Central charge #Charge (physics) #Charge conservation #Current algebra #Diffeomorphism #Filtered algebra #Foliation (geology) #Noncommutative and Quantum Gravity Theories #Symplectic geometry #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep10(2020)205
published in Journal of High Energy Physics 2020(10) (Springer Nature) · 22 pages + 23 pages appendices, 1 figure
arxiv created 2020/04/22 · openalex created_date 2020/05/01 · openalex publication_date 2020/10/01 · arxiv updated 2020/12/02 · openalex updated_date 2026/08/05
A bstract The surface charge algebra of generic asymptotically locally (A)dS 4 spacetimes without matter is derived without assuming any boundary conditions. Surface charges associated with Weyl rescalings are vanishing while the boundary diffeomorphism charge algebra is non-trivially represented without central extension. The Λ-BMS 4 charge algebra is obtained after specifying a boundary foliation and a boundary measure. The existence of the flat limit requires the addition of corner terms in the action and symplectic structure that are defined from the boundary foliation and measure. The flat limit then reproduces the BMS 4 charge algebra of supertranslations and super-Lorentz transformations acting on asymptotically locally flat spacetimes. The BMS 4 surface charges represent the BMS 4 algebra without central extension at the corners of null infinity under the standard Dirac bracket, which implies that the BMS 4 flux algebra admits no non-trivial central extension.