Supertranslations in Higher Dimensions Revisited

Abstract

In this paper, we revisit the question of identifying Soft Graviton theorem in higher (even) dimensions with Ward identities associated with Asymptotic symmetries. Building on the prior work of \cite{strominger}, we compute, from first principles, the (asymptotic) charge associated to Supertranslation symmetry in higher even dimensions and show that (i) these charges are non-trivial, finite and (ii) the corresponding Ward identities are indeed the soft graviton theorems.

arXiv comment28 pages; minor rephrasing of two statements, version accepted for publication in Physical Review D

References in corpus (23)

• On BMS Invariance of Gravitational Scattering
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Aspects of the BMS/CFT correspondence
• BMS supertranslations and Weinberg's soft graviton theorem
• New Symmetries of Massless QED
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• Asymptotic Symmetries of Yang-Mills Theory
• New symmetries for the Gravitational S-matrix
• Low's Subleading Soft Theorem as a Symmetry of QED
• Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem
• Asymptotic Flatness and Bondi Energy in Higher Dimensional Gravity
• BMS Supertranslations and Memory in Four and Higher Dimensions
• Sub-subleading soft gravitons: New symmetries of quantum gravity?
• Asymptotic symmetries of gravity and soft theorems for massive particles
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• Asymptotic flatness at null infinity in arbitrary dimensions
• Conformal Null Infinity Does Not Exist for Radiating Solutions in Odd Spacetime Dimensions
• Gravitational Memory in Higher Dimensions
• Gravity Waves from Soft Theorem in General Dimensions
• Soft Theorems in Superstring Theory
• Subleading Soft Graviton Theorem for Loop Amplitudes
• Asymptotic flatness at null infinity in higher dimensional gravity

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• The Bondi-Metzner-Sachs group in five spacetime dimensions
• On electromagnetic and colour memory in even dimensions
• Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis
• Asymptotic symmetries and subleading soft graviton theorem in higher dimensions
• Generalized BMS algebra in higher even dimensions
• Recovering information in an asymptotically flat spacetime in quantum gravity
• Super-Hawking Radiation
• Topics in Asymptotic Symmetries and Infrared Effects
• Finite actions and asymptotic charges at null infinity for any spin
• Asymptotic symmetries and soft theorems in higher-dimensional gravity
• A monogamy paradox in empty flat space
• All near-horizon symmetries of the Schwarzschild black hole in linearised gravity