Double-soft graviton amplitudes and the extended BMS charge algebra

Distler, Jacques; Flauger, Raphael; Horn, Bart

doi:10.1007/jhep08(2019)021

Title: Double-soft graviton amplitudes and the extended BMS charge algebra

Abstract

We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is expected to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.

Authors:

Distler, Jacques ^[1]; Flauger, Raphael ^[2]; Horn, Bart ^[3]

Univ. of Texas, Austin, TX (United States)
Univ. of California, San Diego, CA (United States)
Manhattan College, New York, NY (United States)

Publication Date:: 2019-08-05

Research Org.:: Univ. of California, San Diego, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF)

OSTI Identifier:: 1611233

Grant/Contract Number:: SC0009919; PHY-1620610; PHY-1066293

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; classical theories of gravity; gauge symmetry; scattering amplitudes; Space-Time symmetries

Citation Formats


                    Distler, Jacques, Flauger, Raphael, and Horn, Bart. Double-soft graviton amplitudes and the extended BMS charge algebra.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep08(2019)021.

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                    Distler, Jacques, Flauger, Raphael, & Horn, Bart. Double-soft graviton amplitudes and the extended BMS charge algebra.  United States.  https://doi.org/10.1007/jhep08(2019)021

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                    Distler, Jacques, Flauger, Raphael, and Horn, Bart. Mon .  
"Double-soft graviton amplitudes and the extended BMS charge algebra".  United States.  https://doi.org/10.1007/jhep08(2019)021.  https://www.osti.gov/servlets/purl/1611233.

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@article{osti_1611233,

  title        = {Double-soft graviton amplitudes and the extended BMS charge algebra},

  author       = {Distler, Jacques and Flauger, Raphael and Horn, Bart},

  abstractNote = {We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is expected to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.},

  doi          = {10.1007/jhep08(2019)021},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 8,

  volume       = 2019,

  place        = {United States},

  year         = {2019},

  month        = {8}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

Asymptotic renormalization in flat space: symplectic potential and charges of electromagnetism
journal, October 2019

Freidel, Laurent; Hopfmüller, Florian; Riello, Aldo
Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/jhep10(2019)126

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Title: Double-soft graviton amplitudes and the extended BMS charge algebra

Abstract

Citation Formats

Current-Commutator Theory of Multiple Pion Production journal, May 1966

Double soft theorems in gauge and string theories journal, July 2015

Asymptotic Symmetries in Gravitational Theory journal, December 1962

New symmetries for the gravitational S-matrix journal, April 2015

Double-soft limits of gluons and gravitons journal, July 2015

Supertranslations and Superrotations at the Black Hole Horizon journal, March 2016

Covariant Conservation Laws in General Relativity journal, February 1959

Centrally extended BMS4 Lie algebroid journal, June 2017

2D Kac-Moody symmetry of 4D Yang-Mills theory journal, October 2016

On BMS invariance of gravitational scattering journal, July 2014

Soft theorems from conformal field theory journal, June 2015

Pion Scattering Lengths journal, September 1966

Double soft limits of cosmological correlations journal, March 2015

Superrotations and black hole pair creation journal, February 2017

BMS supertranslations and Weinberg’s soft graviton theorem journal, May 2015

An infinite set of Ward identities for adiabatic modes in cosmology journal, January 2014

Graviton physics journal, November 2006

Soft Hair on Black Holes journal, June 2016

Exploring the holographic principle in asymptotically flat spacetimes via the BMS group journal, December 2003

Infrared Photons and Gravitons journal, October 1965

New symmetries of massless QED journal, October 2014

Covariant theory of asymptotic symmetries, conservation laws and central charges journal, June 2002

A short review on Noether’s theorems, gauge symmetries and boundary terms journal, August 2016

Soft-Pion theorems for large scale structure journal, September 2014

The structure of N-2 supergravity in N=1 superfields journal, January 1985

Holography in asymptotically flat spacetimes and the BMS group journal, November 2004

Subleading soft photons and large gauge transformations journal, November 2016

BMS/GCA redux: towards flatspace holography from non-relativistic symmetries journal, October 2012

Near-horizon BMS symmetries as fluid symmetries journal, October 2017

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity journal, June 1986

Noether’s second theorem and Ward identities for gauge symmetries journal, February 2016

Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix journal, August 2014

Asymptotic symmetries of Yang-Mills theory journal, July 2014

Asymptotic symmetries of gravity and soft theorems for massive particles journal, December 2015

Dressed Hard States and Black Hole Soft Hair journal, November 2016

Rigorous Steps Towards Holography in Asymptotically flat Spacetimes journal, May 2006

Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories journal, October 2010

2D Stress Tensor for 4D Gravity journal, September 2017

4D scattering amplitudes and asymptotic symmetries from 2D CFT journal, January 2017

BMS charge algebra journal, December 2011

Extended symmetries at the black hole horizon journal, September 2016

Asymptotic symmetries and subleading soft graviton theorem journal, December 2014

Constraining subleading soft gluon and graviton theorems journal, September 2014

Low-energy behavior of gluons and gravitons from gauge invariance journal, October 2014

Soft theorems from effective field theory journal, June 2015

Some properties of the Noether charge and a proposal for dynamical black hole entropy journal, July 1994

Loop-corrected Virasoro symmetry of 4D quantum gravity journal, August 2017

Multiple soft limits of cosmological correlation functions journal, January 2015

What is the simplest quantum field theory? journal, September 2010

Low’s Subleading Soft Theorem as a Symmetry of QED journal, September 2014

Asymptotic renormalization in flat space: symplectic potential and charges of electromagnetism journal, October 2019

Current-Commutator Theory of Multiple Pion Production
journal, May 1966

Double soft theorems in gauge and string theories
journal, July 2015

Asymptotic Symmetries in Gravitational Theory
journal, December 1962

New symmetries for the gravitational S-matrix
journal, April 2015

Double-soft limits of gluons and gravitons
journal, July 2015

Supertranslations and Superrotations at the Black Hole Horizon
journal, March 2016

Covariant Conservation Laws in General Relativity
journal, February 1959

Centrally extended BMS4 Lie algebroid
journal, June 2017

2D Kac-Moody symmetry of 4D Yang-Mills theory
journal, October 2016

On BMS invariance of gravitational scattering
journal, July 2014

Soft theorems from conformal field theory
journal, June 2015

Pion Scattering Lengths
journal, September 1966

Double soft limits of cosmological correlations
journal, March 2015

Superrotations and black hole pair creation
journal, February 2017

BMS supertranslations and Weinberg’s soft graviton theorem
journal, May 2015

An infinite set of Ward identities for adiabatic modes in cosmology
journal, January 2014

Graviton physics
journal, November 2006

Soft Hair on Black Holes
journal, June 2016

Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
journal, December 2003

Infrared Photons and Gravitons
journal, October 1965

New symmetries of massless QED
journal, October 2014

Covariant theory of asymptotic symmetries, conservation laws and central charges
journal, June 2002

A short review on Noether’s theorems, gauge symmetries and boundary terms
journal, August 2016

Soft-Pion theorems for large scale structure
journal, September 2014

The structure of N-2 supergravity in N=1 superfields
journal, January 1985

Holography in asymptotically flat spacetimes and the BMS group
journal, November 2004

Subleading soft photons and large gauge transformations
journal, November 2016

BMS/GCA redux: towards flatspace holography from non-relativistic symmetries
journal, October 2012

Near-horizon BMS symmetries as fluid symmetries
journal, October 2017

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986

Noether’s second theorem and Ward identities for gauge symmetries
journal, February 2016

Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix
journal, August 2014

Asymptotic symmetries of Yang-Mills theory
journal, July 2014

Asymptotic symmetries of gravity and soft theorems for massive particles
journal, December 2015

Dressed Hard States and Black Hole Soft Hair
journal, November 2016

Rigorous Steps Towards Holography in Asymptotically flat Spacetimes
journal, May 2006

Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories
journal, October 2010

2D Stress Tensor for 4D Gravity
journal, September 2017

4D scattering amplitudes and asymptotic symmetries from 2D CFT
journal, January 2017

BMS charge algebra
journal, December 2011

Extended symmetries at the black hole horizon
journal, September 2016

Asymptotic symmetries and subleading soft graviton theorem
journal, December 2014

Constraining subleading soft gluon and graviton theorems
journal, September 2014

Low-energy behavior of gluons and gravitons from gauge invariance
journal, October 2014

Soft theorems from effective field theory
journal, June 2015

Some properties of the Noether charge and a proposal for dynamical black hole entropy
journal, July 1994

Loop-corrected Virasoro symmetry of 4D quantum gravity
journal, August 2017

Multiple soft limits of cosmological correlation functions
journal, January 2015

What is the simplest quantum field theory?
journal, September 2010

Low’s Subleading Soft Theorem as a Symmetry of QED
journal, September 2014

Asymptotic renormalization in flat space: symplectic potential and charges of electromagnetism
journal, October 2019