Symmetry group at future null infinity III: Gravitational theory

A bstract We reduce the gravitational theory in an asymptotically flat spacetime to future null infinity. We compute the Poincaré flux operators at future null infinity and construct the supertranslation and superrotation generators. The generators are shown to form a closed symmetry algebra by incl...

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Published inThe journal of high energy physics Vol. 2023; no. 10; pp. 117 - 57
Main Authors Liu, Wen-Bin, Long, Jiang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 20.10.2023
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Algebra
Angular momentum
Classical and Quantum Gravitation
Elementary Particles
Field theory
Gravitation theory
Gravity
Hamiltonian functions
High energy physics
Infinity
Lie groups
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Space-Time Symmetries
Spacetime
String Theory
Superrotation
Symmetry
AdS-CFT Correspondence
Space-Time Symmetries
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Summary:A bstract We reduce the gravitational theory in an asymptotically flat spacetime to future null infinity. We compute the Poincaré flux operators at future null infinity and construct the supertranslation and superrotation generators. The generators are shown to form a closed symmetry algebra by including a generalized gravitational duality operator. We could regard all the generators as the Hamiltonians with respect to the symmetry transformation in the boundary field theory. Our construction of the generators may relate to the BMS fluxes defined in the literature by adding counterterms to the Bondi mass and angular momentum aspects.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2023)117