Sub-subleading soft graviton theorem from asymptotic Einstein’s equations

A bstract We identify in Einstein gravity an asymptotic spin-2 charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-2 charge generates a non-local spacetime symmetry represented at null infinity by pseudo-v...

Full description

Saved in:
Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 5; pp. 186 - 38
Main Authors Freidel, Laurent, Pranzetti, Daniele, Raclariu, Ana-Maria
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 31.05.2022
Springer Nature B.V
SpringerOpen
Subjects
Asymptotic properties
Classical and Quantum Gravitation
Classical Theories of Gravity
Conservation equations
Conservation laws
Elementary Particles
Fields (mathematics)
Gravitons
Gravity
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Space-Time Symmetries
Spacetime
String Theory
Symmetry
Theorems
Classical Theories of Gravity
Space-Time Symmetries
Online AccessGet full text

Cover

More Information
Summary:A bstract We identify in Einstein gravity an asymptotic spin-2 charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-2 charge generates a non-local spacetime symmetry represented at null infinity by pseudo-vector fields. Moreover, we demonstrate that the non-linear nature of Einstein’s equations is reflected in the Ward identity through collinear corrections to the sub-subleading soft theorem. Our analysis also provides a unified treatment of the universal soft theorems as conservation equations for the spin-0,-1,-2 canonical generators, while highlighting the important role played by the dual mass.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2022)186