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

He, Temple; Mitra, Prahar; Strominger, Andrew

doi:10.1007/JHEP10(2016)137

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

Journal Article · Tue Oct 25 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2016)137· OSTI ID:1362020

He, Temple ^[1]; Mitra, Prahar ^[2]; Strominger, Andrew ^[2]

Harvard Univ., Cambridge, MA (United States); Center for the Fundamental Laws of Nature, Harvard University, Cambridge, MA 02138
Harvard Univ., Cambridge, MA (United States)

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-91ER40654

OSTI ID:: 1362020

Alternate ID(s):: OSTI ID: 22610601

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (39)

A note on asymptotic symmetries and soft-photon theorem Mohd, Arif Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)060	journal	February 2015
Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach Campoleoni, Andrea; Henneaux, Marc Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)143	journal	March 2015
New symmetries for the gravitational S-matrix Campiglia, Miguel; Laddha, Alok Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)076	journal	April 2015
BMS supertranslations and Weinberg’s soft graviton theorem He, Temple; Lysov, Vyacheslav; Mitra, Prahar Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)151	journal	May 2015
Iterative structure of finite loop integrals Caron-Huot, Simon; Henn, Johannes M. Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)114	journal	June 2014
Soft theorems from effective field theory Larkoski, Andrew J.; Neill, Duff; Stewart, Iain W. Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)077	journal	June 2015
Asymptotic symmetries of Yang-Mills theory Strominger, Andrew Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)151	journal	July 2014
On BMS invariance of gravitational scattering Strominger, Andrew Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)152	journal	July 2014
Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix Kapec, Daniel; Lysov, Vyacheslav; Pasterski, Sabrina Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)058	journal	August 2014
Subleading soft factor for string disk amplitudes Schwab, Burkhard U. W. Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)062	journal	August 2014
Soft sub-leading divergences in Yang-Mills amplitudes Casali, Eduardo Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)077	journal	August 2014
New symmetries of massless QED He, Temple; Mitra, Prahar; Porfyriadis, Achilleas P. Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)112	journal	October 2014
BMS charge algebra Barnich, Glenn; Troessaert, Cédric Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)105	journal	December 2011
Loop corrections to soft theorems in gauge theories and gravity He, Song; Huang, Yu-tin; Wen, Congkao Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)115	journal	December 2014
A current algebra for some gauge theory amplitudes Nair, V. P. Physics Letters B, Vol. 214, Issue 2 https://doi.org/10.1016/0370-2693(88)91471-2	journal	November 1988
Multiple soft gluon radiation in parton processes Berends, F. A.; Giele, W. T. Nuclear Physics B, Vol. 313, Issue 3 https://doi.org/10.1016/0550-3213(89)90398-2	journal	February 1989
A holographic reduction of Minkowski space–time de Boer, Jan; Solodukhin, Sergey N. Nuclear Physics B, Vol. 665 https://doi.org/10.1016/S0550-3213(03)00494-2	journal	August 2003
Perturbative gravity at null infinity Adamo, Tim; Casali, Eduardo; Skinner, David Classical and Quantum Gravity, Vol. 31, Issue 22 https://doi.org/10.1088/0264-9381/31/22/225008	journal	November 2014
Ambitwistor strings at null infinity and (subleading) soft limits Geyer, Yvonne; Lipstein, Arthur E.; Mason, Lionel Classical and Quantum Gravity, Vol. 32, Issue 5 https://doi.org/10.1088/0264-9381/32/5/055003	journal	January 2015
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system Bondi, Hermann; Van der Burg, M. G. J.; Metzner, A. W. K. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 269, Issue 1336, p. 21-52 https://doi.org/10.1098/rspa.1962.0161	journal	August 1962
Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time Sachs, R. K. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 270, Issue 1340, p. 103-126 https://doi.org/10.1098/rspa.1962.0206	journal	October 1962
Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity Ashtekar, A.; Streubel, M. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, Issue 1767 https://doi.org/10.1098/rspa.1981.0109	journal	May 1981
Infrared Photons and Gravitons Weinberg, Steven Physical Review, Vol. 140, Issue 2B https://doi.org/10.1103/PhysRev.140.B516	journal	October 1965
Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited Barnich, Glenn; Troessaert, Cédric Physical Review Letters, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevLett.105.111103	journal	September 2010
Subleading Soft Theorem in Arbitrary Dimensions from Scattering Equations Schwab, Burkhard U. W.; Volovich, Anastasia Physical Review Letters, Vol. 113, Issue 10 https://doi.org/10.1103/PhysRevLett.113.101601	journal	September 2014
Low’s Subleading Soft Theorem as a Symmetry of QED Lysov, Vyacheslav; Pasterski, Sabrina; Strominger, Andrew Physical Review Letters, Vol. 113, Issue 11 https://doi.org/10.1103/PhysRevLett.113.111601	journal	September 2014
Scattering of Massless Particles in Arbitrary Dimensions Cachazo, Freddy; He, Song; Yuan, Ellis Ye Physical Review Letters, Vol. 113, Issue 17 https://doi.org/10.1103/PhysRevLett.113.171601	journal	October 2014
Asymptotic Quantization of the Gravitational Field Ashtekar, Abhay Physical Review Letters, Vol. 46, Issue 9 https://doi.org/10.1103/PhysRevLett.46.573	journal	March 1981
Spontaneous Lorentz violation: the case of infrared QED Balachandran, A. P.; Kürkçüoǧlu, S.; de Queiroz, A. R. The European Physical Journal C, Vol. 75, Issue 2 https://doi.org/10.1140/epjc/s10052-015-3305-0	journal	February 2015
BMS charge algebra Barnich, Glenn; Troessaert, Cedric arXiv https://doi.org/10.48550/arxiv.1106.0213	text	January 2011
Asymptotic Symmetries of Yang-Mills Theory Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.1308.0589	text	January 2013
On BMS Invariance of Gravitational Scattering Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.1312.2229	text	January 2013
Subleading soft theorem in arbitrary dimension from scattering equations Schwab, Burkhard U. W.; Volovich, Anastasia arXiv https://doi.org/10.48550/arxiv.1404.7749	text	January 2014
Loop Corrections to Soft Theorems in Gauge Theories and Gravity He, Song; Huang, Yu-tin; Wen, Congkao arXiv https://doi.org/10.48550/arxiv.1405.1410	text	January 2014
Subleading Soft Factor for String Disk Amplitudes Schwab, Burkhard U. W. arXiv https://doi.org/10.48550/arxiv.1406.4172	text	January 2014
Spontaneous Lorentz Violation: The Case of Infrared QED Balachandran, A. P.; Kurkcuoglu, S.; de Queiroz, A. R. arXiv https://doi.org/10.48550/arxiv.1406.5845	text	January 2014
Soft Theorems from Effective Field Theory Larkoski, Andrew J.; Neill, Duff; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.1412.3108	preprint	January 2014
A note on asymptotic symmetries and soft-photon theorem Mohd, Arif arXiv https://doi.org/10.48550/arxiv.1412.5365	text	January 2014
New symmetries for the Gravitational S-matrix Campiglia, Miguel; Laddha, Alok arXiv https://doi.org/10.48550/arxiv.1502.02318	text	January 2015

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