Built on

F. E. Low, Scattering of Light of Very Low Frequency by Systems of Spin 1/2 , Physical Review 96
1954
Earlier work this paper cites.
M. Gell-Mann and M. L. Goldberger, Scattering of Low-Energy Photons by Particles of Spin 1/2 , Physical Review 96
1954
Earlier work this paper cites.
F. E. Low, Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions , Physical Review 110
1958
Earlier work this paper cites.
T. H. Burnett and N. M. Kroll, Extension of the Low Soft-Photon Theorem , Physical Review Letters 20
1968
Earlier work this paper cites.
S. Weinberg, The Quantum Theory of Field. Vol 1: Foundations . Cambridge University Press, 2005
2005
Earlier work this paper cites.
A. Strominger, Asymptotic symmetries of Yang-Mills theory , Journal of High Energy Physics 7
Original
2014
Earlier work this paper cites.
T. He, P. Mitra, A. P. Porfyriadis and A. Strominger, New symmetries of massless QED , Journal of High Energy Physics 10
Original
2014
Earlier work this paper cites.

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Then

S. Pasterski, S.-H. Shao and A. Strominger, Gluon amplitudes as 2 d conformal correlators , Physical Review D 96
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2017
Later among the works it cites.
A. Nande, M. Pate and A. Strominger, Soft factorization in QED from 2D Kac-Moody symmetry , Journal of High Energy Physics 2
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A. Ø. Schreiber, A. Volovich and M. Zlotnikov, Tree-level gluon amplitudes on the celestial sphere , Physics Letters B 781
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S. Stieberger and T. R. Taylor, Strings on celestial sphere , Nuclear Physics B 935

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2019

Celestial Current Algebra from Low's Subleading Soft Theorem

Himwich, Elizabeth, Strominger, Andrew

Understand

The leading soft photon theorem implies that four-dimensional scattering amplitudes are controlled by a two-dimensional (2D) $U(1)$ Kac-Moody symmetry that acts on the celestial sphere at null infinity ($\mathcal{I}$).

This celestial $U(1)$ current is realized by components of the electromagnetic vector potential on the boundaries of $\mathcal{I}$.
Here, we develop a parallel story for Low's subleading soft photon theorem.
It gives rise to a second celestial current, which is realized by vector potential components that are subleading in the large radius expansion about the boundaries of $\mathcal{I}$.

Built on

F. E. Low, Scattering of Light of Very Low Frequency by Systems of Spin 1/2 , Physical Review 96
1954
Earlier work this paper cites.
M. Gell-Mann and M. L. Goldberger, Scattering of Low-Energy Photons by Particles of Spin 1/2 , Physical Review 96
1954
Earlier work this paper cites.
F. E. Low, Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions , Physical Review 110
1958
Earlier work this paper cites.
T. H. Burnett and N. M. Kroll, Extension of the Low Soft-Photon Theorem , Physical Review Letters 20
1968
Earlier work this paper cites.
S. Weinberg, The Quantum Theory of Field. Vol 1: Foundations . Cambridge University Press, 2005
2005
Earlier work this paper cites.
A. Strominger, Asymptotic symmetries of Yang-Mills theory , Journal of High Energy Physics 7
Original
2014
Earlier work this paper cites.
T. He, P. Mitra, A. P. Porfyriadis and A. Strominger, New symmetries of massless QED , Journal of High Energy Physics 10
Original
2014
Earlier work this paper cites.