2D Kac-Moody symmetry of 4D Yang-Mills theory

He, Temple; Mitra, Prahar; Strominger, Andrew

doi:10.1007/JHEP10(2016)137

Title: 2D Kac-Moody symmetry of 4D Yang-Mills theory

Abstract

Scattering amplitudes of any four-dimensional theory with nonabelian gauge group G may be recast as two-dimensional correlation functions on the asymptotic twosphere at null in nity. The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity of a holomorphic two-dimensional G-Kac-Moody symmetry acting on these correlation functions. Holomorphic Kac-Moody current insertions are positive helicity soft gluon insertions. Furthermore, the Kac-Moody transformations are a CPT invariant subgroup of gauge transformations which act nontrivially at null in nity and comprise the four-dimensional asymptotic symmetry group.

Authors:

He, Temple ^[1]; Mitra, Prahar ^[1]; Strominger, Andrew ^[1]

Harvard Univ., Cambridge, MA (United States)

Publication Date:: Tue Oct 25 00:00:00 EDT 2016

Research Org.:: President & Fellows of Harvard College, Cambridge, MA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1362020

Grant/Contract Number:: FG02-91ER40654

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: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge Symmetry; Scattering Amplitudes; Spontaneous Symmetry Breaking

Citation Formats


                    He, Temple, Mitra, Prahar, and Strominger, Andrew. 2D Kac-Moody symmetry of 4D Yang-Mills theory.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP10(2016)137.

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                    He, Temple, Mitra, Prahar, & Strominger, Andrew. 2D Kac-Moody symmetry of 4D Yang-Mills theory.  United States.  https://doi.org/10.1007/JHEP10(2016)137

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                    He, Temple, Mitra, Prahar, and Strominger, Andrew. Tue .  
"2D Kac-Moody symmetry of 4D Yang-Mills theory".  United States.  https://doi.org/10.1007/JHEP10(2016)137.  https://www.osti.gov/servlets/purl/1362020.

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@article{osti_1362020,

  title        = {2D Kac-Moody symmetry of 4D Yang-Mills theory},

  author       = {He, Temple and Mitra, Prahar and Strominger, Andrew},

  abstractNote = {Scattering amplitudes of any four-dimensional theory with nonabelian gauge group G may be recast as two-dimensional correlation functions on the asymptotic twosphere at null in nity. The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity of a holomorphic two-dimensional G-Kac-Moody symmetry acting on these correlation functions. Holomorphic Kac-Moody current insertions are positive helicity soft gluon insertions. Furthermore, the Kac-Moody transformations are a CPT invariant subgroup of gauge transformations which act nontrivially at null in nity and comprise the four-dimensional asymptotic symmetry group.},

  doi          = {10.1007/JHEP10(2016)137},

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

  number       = 10,

  volume       = 2016,

  place        = {United States},

  year         = {Tue Oct 25 00:00:00 EDT 2016},

  month        = {Tue Oct 25 00:00:00 EDT 2016}

}

Copy to clipboard

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Works referencing / citing this record:

A d-dimensional stress tensor for Minkd+2 gravity
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Title: 2D Kac-Moody symmetry of 4D Yang-Mills theory

Abstract

Citation Formats

Multiple soft gluon radiation in parton processes journal, February 1989

A current algebra for some gauge theory amplitudes journal, November 1988

Asymptotic symmetries of Yang-Mills theory journal, July 2014

Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system journal, August 1962

Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time journal, October 1962

Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited journal, September 2010

BMS charge algebra journal, December 2011

Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity journal, May 1981

Asymptotic Quantization of the Gravitational Field journal, March 1981

On BMS invariance of gravitational scattering journal, July 2014

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

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

New symmetries of massless QED journal, October 2014

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

Scattering of Massless Particles in Arbitrary Dimensions journal, October 2014

Soft sub-leading divergences in Yang-Mills amplitudes journal, August 2014

Soft theorems from effective field theory journal, June 2015

Perturbative gravity at null infinity journal, November 2014

Ambitwistor strings at null infinity and (subleading) soft limits journal, January 2015

Subleading soft factor for string disk amplitudes journal, August 2014

Spontaneous Lorentz violation: the case of infrared QED journal, February 2015

Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach journal, March 2015

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

Loop corrections to soft theorems in gauge theories and gravity journal, December 2014

A holographic reduction of Minkowski space–time journal, August 2003

Infrared Photons and Gravitons journal, October 1965

BMS charge algebra text, January 2011

Asymptotic Symmetries of Yang-Mills Theory text, January 2013

On BMS Invariance of Gravitational Scattering text, January 2013

Subleading soft theorem in arbitrary dimension from scattering equations text, January 2014

Loop Corrections to Soft Theorems in Gauge Theories and Gravity text, January 2014

Subleading Soft Factor for String Disk Amplitudes text, January 2014

Spontaneous Lorentz Violation: The Case of Infrared QED text, January 2014

Soft Theorems from Effective Field Theory preprint, January 2014

A note on asymptotic symmetries and soft-photon theorem text, January 2014

New symmetries for the Gravitational S-matrix text, January 2015

A d-dimensional stress tensor for Minkd+2 gravity journal, May 2018

Flat holography and Carrollian fluids journal, July 2018

Asymptotic symmetries and Weinberg’s soft photon theorem in Minkd+2 journal, October 2019

Large gauge symmetries and asymptotic states in QED journal, December 2016

Source and response soft charges for Maxwell theory on AdSd journal, December 2019

Localisation of soft charges, and thermodynamics of softly hairy black holes journal, July 2018

Celestial amplitudes and conformal soft theorems journal, September 2019

Note on soft photons and Faddeev–Jackiw symplectic reduction of quantum electrodynamics in the eikonal limit journal, September 2018

Asymptotic Charges at Null Infinity in Any Dimension journal, March 2018

Infrared divergences in QED revisited text, January 2017

Flat holography and Carrollian fluids text, January 2018

Asymptotic Charges at Null Infinity in Any Dimension text, January 2018

4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT text, January 2016

Soft Factorization in QED from 2D Kac-Moody Symmetry text, January 2017

Infrared Divergences in QED, Revisited text, January 2017

A $d$-Dimensional Stress Tensor for Mink$_{d+2}$ Gravity text, January 2017

Localisation of Soft Charges, and Thermodynamics of Softly Hairy Black Holes text, January 2018

Note on soft photons and Faddeev-Jackiw symplectic reduction of quantum electrodynamics in the eikonal limit text, January 2018

Conformally Soft Photons and Gravitons text, January 2018

Multiple soft gluon radiation in parton processes
journal, February 1989

A current algebra for some gauge theory amplitudes
journal, November 1988

Asymptotic symmetries of Yang-Mills theory
journal, July 2014

Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
journal, August 1962

Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
journal, October 1962

Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited
journal, September 2010

BMS charge algebra
journal, December 2011

Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity
journal, May 1981

Asymptotic Quantization of the Gravitational Field
journal, March 1981

On BMS invariance of gravitational scattering
journal, July 2014

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

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

New symmetries of massless QED
journal, October 2014

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

Scattering of Massless Particles in Arbitrary Dimensions
journal, October 2014

Soft sub-leading divergences in Yang-Mills amplitudes
journal, August 2014

Soft theorems from effective field theory
journal, June 2015

Perturbative gravity at null infinity
journal, November 2014

Ambitwistor strings at null infinity and (subleading) soft limits
journal, January 2015

Subleading soft factor for string disk amplitudes
journal, August 2014

Spontaneous Lorentz violation: the case of infrared QED
journal, February 2015

Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach
journal, March 2015

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

Loop corrections to soft theorems in gauge theories and gravity
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A holographic reduction of Minkowski space–time
journal, August 2003

Infrared Photons and Gravitons
journal, October 1965

BMS charge algebra
text, January 2011

Asymptotic Symmetries of Yang-Mills Theory
text, January 2013

On BMS Invariance of Gravitational Scattering
text, January 2013

Subleading soft theorem in arbitrary dimension from scattering equations
text, January 2014

Loop Corrections to Soft Theorems in Gauge Theories and Gravity
text, January 2014

Subleading Soft Factor for String Disk Amplitudes
text, January 2014

Spontaneous Lorentz Violation: The Case of Infrared QED
text, January 2014

Soft Theorems from Effective Field Theory
preprint, January 2014

A note on asymptotic symmetries and soft-photon theorem
text, January 2014

New symmetries for the Gravitational S-matrix
text, January 2015

A d-dimensional stress tensor for Minkd+2 gravity
journal, May 2018

Flat holography and Carrollian fluids
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Large gauge symmetries and asymptotic states in QED
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Source and response soft charges for Maxwell theory on AdSd
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journal, July 2018

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journal, September 2019

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journal, March 2018

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text, January 2017

Flat holography and Carrollian fluids
text, January 2018

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text, January 2018

4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
text, January 2016

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text, January 2017

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text, January 2017

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text, January 2017

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text, January 2018

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text, January 2018

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text, January 2018