Online citations, reference lists, and bibliographies.

On BMS Invariance Of Gravitational Scattering

A. Strominger
Published 2014 · Physics

Cite This
Download PDF
Analyze on Scholarcy
Share
A bstractBMS+ transformations act nontrivially on outgoing gravitational scattering data while preserving intrinsic structure at future null infinity (ℐ$$ \mathrm{\mathcal{I}} $$+). BMS− transformations similarly act on ingoing data at past null infinity (ℐ$$ \mathrm{\mathcal{I}} $$−). In this paper we apply — within a suitable finite neighborhood of the Minkowski vacuum — results of Christodoulou and Klainerman to link ℐ$$ \mathrm{\mathcal{I}} $$+ to ℐ$$ \mathrm{\mathcal{I}} $$− and thereby identify “diagonal” elements BMS0 of BMS+ × BMS−. We argue that BMS0 is a nontrivial infinite-dimensional symmetry of both classical gravitational scattering and the quantum gravity S$$ \mathcal{S} $$-matrix. It implies the conservation of net accumulated energy flux at every angle on the conformal S2 at ℐ$$ \mathrm{\mathcal{I}} $$. The associated Ward identity is shown to relate S-matrix elements with and without soft gravitons. Finally, BMS0 is recast as a U(1) Kac-Moody symmetry and an expression for the Kac-Moody current is given in terms of a certain soft graviton operator on the boundary of ℐ$$ \mathrm{\mathcal{I}} $$.
This paper references
10.1103/PhysRev.140.B516
Infrared photons and gravitons
S. Weinberg (1965)
10.1103/PhysRevD.88.103006
Einstein-Yang-Mills theory: Asymptotic symmetries
Glenn Barnich (2013)
10.1007/JHEP10(2013)159
Construction of an asymptotic S matrix for perturbative quantum gravity
John Ware (2013)
10.1017/CBO9780511600104.003
Gravitational waves in general relativity
D. Blair (1991)
10.1063/1.2808256
The Quantum Theory of Fields, Vol. 1: Foundations
S. Weinberg (1995)
10.1063/1.523863
A unified treatment of null and spatial infinity in general relativity. I - Universal structure, asymptotic symmetries, and conserved quantities at spatial infinity
A. Ashtekar (1978)
10.1007/JHEP12(2011)105
BMS charge algebra
G. Barnich (2011)
10.1140/EPJP/I2013-13118-9
Spontaneous Lorentz violation in gauge theories
A. Balachandran (2013)
10.1103/PhysRevLett.67.1486
Nonlinear nature of gravitation and gravitational-wave experiments.
Christodoulou (1991)
10.1080/716099348
The Quantum Theory of Light
R. M. Sillitto (1974)
Gravitational waves in general relativity VII. Waves from isolated axisymmetric systems
H. Bondi (1962)
10.1007/JHEP11(2013)003
Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
G. Barnich (2013)
10.1007/JHEP05(2015)151
BMS supertranslations and Weinberg’s soft graviton theorem
Temple He (2015)
Asymptotic quantization : based on 1984 Naples lectures
A. Ashtekar (1987)
10.1038/283883a0
General relativity
D. Raine (1980)
Notes on Soft Factors
J. Maldacena (2012)
10.1098/rspa.1962.0161
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
H. Bondi (1962)
10.1038/164977a0
Quantum Theory of Fields
L. Infeld (1949)
10.1098/rspa.1962.0206
Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
R. Sachs (1962)
10.1007/JHEP07(2014)151
Asymptotic symmetries of Yang-Mills theory
A. Strominger (2014)
10.22323/1.127.0010
Supertranslations call for superrotations
G. Barnich (2011)
10.1007/BF01066485
Asymptotic conditions and infrared divergences in quantum electrodynamics
P. P. Kulish (1970)
A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
T. Banks (2003)
10.1103/PhysRevLett.105.111103
Symmetries of asymptotically flat four-dimensional spacetimes at null infinity revisited.
G. Barnich (2010)
10.1098/rspa.1981.0109
Symplectic geometry of radiative modes and conserved quantities at null infinity
A. Ashtekar (1981)
10.1103/PhysRevLett.46.573
Asymptotic Quantization of the Gravitational Field
A. Ashtekar (1981)



This paper is referenced by
QCD Beyond Leading Power
G. Vita (2020)
The Quantum Focussing Condition and Quantum Null Energy Condition
Jason Koeller (2017)
Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
T. Dumitrescu (2015)
10.1007/JHEP05(2015)151
BMS supertranslations and Weinberg’s soft graviton theorem
Temple He (2015)
10.1007/JHEP06(2016)088
Gravitational black hole hair from event horizon supertranslations
Artem Averin (2016)
10.1007/JHEP03(2017)169
Gravitation and quadratic forms
Sudarshan Ananth (2017)
10.1103/PhysRevD.95.125009
Soft photon theorem for high energy amplitudes in Yukawa and scalar theories
Hualong Gervais (2017)
10.1007/JHEP11(2016)059
Extended supersymmetric BMS3 algebras and their free field realisations
Nabamita Banerjee (2016)
Warped Flatland.
St'ephane Detournay (2020)
10.1007/JHEP03(2016)029
Horizon shells and BMS-like soldering transformations
Matthias Blau (2016)
10.1007/978-3-319-61878-4_8
Symmetries of Gravity in AdS$$_3$$
Blagoje Oblak (2017)
Topics in Asymptotic Symmetries and Infrared Effects
Carlo Heissenberg (2019)
Regge-Teitelboim analysis of the symmetries of electromagnetic and gravitational fields on asymptotically null spacelike surfaces
Claudio Bunster (2018)
10.1007/JHEP05(2017)040
Grassmannian integral for general gauge invariant off-shell amplitudes in N=4$$ \mathcal{N}=4 $$ SYM
Lasse Bork (2017)
10.1103/PhysRevD.101.044013
Angular momentum at null infinity in Einstein-Maxwell theory
B 'eatrice Bonga (2020)
10.1007/JHEP05(2016)152
Some inconvenient truths
Richard Woodard (2015)
Modification to the Hawking temperature of a dynamical black hole by a time-dependent supertranslation.
Hsu-Wen Chiang (2020)
10.1007/JHEP11(2019)005
Asymptotic structure of Einstein-Maxwell-dilaton theory and its five dimensional origin
Honglin Lu (2019)
Notes on Conformal Soft Theorems and Recursion Relations in Gravity
A. Guevara (2019)
Bulk supertranslation memories: a concept reshaping the vacua and black holes of general relativity
Libre de Bruxelles (2016)
Quantum Corrections to Gravity: Polishing the Window into the Black Hole Microstates.
Pedro Carvalho (2016)
10.1016/j.physletb.2015.11.073
Classical limit of black hole quantum N-portrait and BMS symmetry
Gia Dvali (2016)
10.1007/JHEP10(2018)078
The infrared structure of Nambu-Goldstone bosons
Ian Low (2018)
10.1007/JHEP10(2019)229
Symmetries, charges and conservation laws at causal diamonds in general relativity
Venkatesa Chandrasekaran (2019)
10.1007/JHEP05(2017)161
Superrotation charge and supertranslation hair on black holes
S. Hawking (2017)
10.1007/JHEP10(2017)065
Sub-subleading soft graviton theorem in generic theories of quantum gravity
Alok Laddha (2017)
10.1103/PhysRevD.95.021701
Remarks on asymptotic symmetries and the subleading soft photon theorem
E. Conde (2017)
10.1007/JHEP08(2019)021
Double-soft graviton amplitudes and the extended BMS charge algebra
J. Distler (2019)
10.1103/PhysRevD.100.086001
Soft mode and interior operator in the Hayden-Preskill thought experiment
B. Yoshida (2019)
10.1140/epjp/s13360-020-00451-3
Near horizon symmetries, emergence of Goldstone modes and thermality
Mousumi Maitra (2019)
10.1007/JHEP12(2019)057
Gravitation in flat spacetime from entanglement
Victor Godet (2019)
10.3390/universe3030055
Black Holes: Eliminating Information or Illuminating New Physics?
Sumanta Chakraborty (2017)
See more
Semantic Scholar Logo Some data provided by SemanticScholar