Built on

H. Bondi, M. van der Burg, and A. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc. Roy .Soc. Lond
1962
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys.Rev
1965
Earlier work this paper cites.
A. Ashtekar and M. Streubel, “Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity,” Proc.Roy.Soc.Lond
1984
Earlier work this paper cites.
V. P. Nair, “A Current Algebra for Some Gauge Theory Amplitudes,” Phys. Lett
1988
Earlier work this paper cites.
F. A. Berends and W. Giele, “Multiple Soft Gluon Radiation in Parton Processes,” Nucl.Phys
1989
Earlier work this paper cites.

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J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl.Phys
2003
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G. Barnich and C. Troessaert, “Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited,” Phys.Rev.Lett
Original
2011
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J. Maldacena and A. Zhiboedov, “Notes on Soft Factors,” unpublished (2012) and private communication
2012
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2014
Cited alongside, same era.
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Original
2014
Cited alongside, same era.

Then

B. U. Schwab, “Subleading Soft Factor for String Disk Amplitudes,” JHEP
Original
2014
Later among the works it cites.
Z. Bern, S. Davies, P. Di Vecchia, and J. Nohle, “Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance,” Phys.Rev
Original
2014
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J. Maldacena. Private communication, 2014
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Later among the works it cites.
Y. Geyer, A. E. Lipstein, and L. Mason, “Ambitwistor strings at null infinity and (subleading) soft limits,” Class.Quant.Grav
Original
2015
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2015

2D Kac-Moody Symmetry of 4D Yang-Mills Theory

He, Temple, Mitra, Prahar, Strominger, Andrew

Understand

Scattering amplitudes of any four-dimensional theory with nonabelian gauge group $\mathcal G$ may be recast as two-dimensional correlation functions on the asymptotic two-sphere at null infinity.

The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity of a holomorphic two-dimensional $\mathcal G$-Kac-Moody symmetry acting on these correlation functions.
Holomorphic Kac-Moody current insertions are positive helicity soft gluon insertions.
The Kac-Moody transformations are a $CPT$ invariant subgroup of gauge transformations which act nontrivially at null infinity and comprise the four-dimensional asymptotic symmetry group.

Built on

H. Bondi, M. van der Burg, and A. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc. Roy .Soc. Lond
1962
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys.Rev
1965
Earlier work this paper cites.
A. Ashtekar and M. Streubel, “Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity,” Proc.Roy.Soc.Lond
1984
Earlier work this paper cites.
V. P. Nair, “A Current Algebra for Some Gauge Theory Amplitudes,” Phys. Lett
1988
Earlier work this paper cites.
F. A. Berends and W. Giele, “Multiple Soft Gluon Radiation in Parton Processes,” Nucl.Phys
1989
Earlier work this paper cites.

Similar

J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl.Phys
2003
Cited alongside, same era.
G. Barnich and C. Troessaert, “Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited,” Phys.Rev.Lett
Original
2011
Cited alongside, same era.
J. Maldacena and A. Zhiboedov, “Notes on Soft Factors,” unpublished (2012) and private communication
2012
Cited alongside, same era.
F. Cachazo, S. He and E. Y. Yuan, “Scattering of Massless Particles in Arbitrary Dimensions,” Phys. Rev. Lett
2014
Cited alongside, same era.
A. J. Larkoski, “Conformal Invariance of the Subleading Soft Theorem in Gauge Theory,” Phys.Rev
Original
2014
Cited alongside, same era.