2015/02/28 by Miguel Campiglia, Alok Laddha · 225 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Generalization #Gravitation #Graviton #Group (periodic table) #Homogeneous space #Noncommutative and Quantum Gravity Theories #Space (punctuation) #Symmetry (geometry) #Symmetry group #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep04(2015)076
published in Journal of High Energy Physics 2015(4) (Springer Nature) · 19 pages
arxiv created 2015/03/01 · openalex publication_date 2015/04/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In [15] we proposed a generalization of the BMS group G which is a semi-direct product of supertranslations and smooth diffeomorphisms of the conformal sphere. Although an extension of BMS, G is a symmetry group of asymptotically flat space times. By taking G as a candidate symmetry group of the quantum gravity S-matrix, we argued that the Ward identities associated to the generators of Diff(S2) were equivalent to the Cachazo-Strominger subleading soft graviton theorem. Our argument however was based on a proposed definition of the Diff(S2) charges which we could not derive from first principles as G does not have a well defined action on the radiative phase space of gravity. Here we fill this gap and provide a first principles derivation of the Diff(S2) charges. The result of this paper, in conjunction with the results of [4, 15] prove that the leading and subleading soft theorems are equivalent to the Ward identities associated to G .