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

By T. He, P. Mitra, Andrew Strominger. 2015

226 citations recorded by the source corpus.

A bstractScattering amplitudes of any four-dimensional theory with nonabelian gauge group G$$ \mathcal{G} $$ may be recast as two-dimensional correlation functions on the asymptotic twosphere 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 G$$ \mathcal{G} $$-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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7e4fb3bf15b7bb651f14bb6db60f5e91fae33eb0

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In Nuclear and High Energy Physics

1. Sabrina Pasterski
2. Andrew Strominger
3. M. Pate
4. A. Raclariu
5. Shu-Heng Shao
6. A. Guevara
7. C. Cheung
8. D. Kapec

Citations in the corpus

• Celestial operator products of gluons and gravitons (2019, unknown): “by the crossing relation for soft modes [30], which on the celestial sphere takes the form”
• Celestial amplitudes and conformal soft theorems (2019, unknown): “, [4–15]).”
• Lectures on celestial amplitudes (2021, background): “While we have focused on the gravitational case in this section, the gauge theory analog of the leading soft theorem gives a celestial Kac-Moody symmetry [42].”
• Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, background): “[12], we sidestep these issues simply by restricting the discussion to tree level.”
• Holographic symmetry algebras for gauge theory and gravity (2021, methodology): “The subleading soft theorem implies two further G-valued 1We consider here the asymptotically flat approximation in which the cosmological constant vanishes and there is an S-matrix.”
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere (2016, unknown): “Indeed it has already been observed [16,17] that soft photon amplitudes take the form of a 2D current algebra.”
• Gluon Amplitudes as 2d Conformal Correlators (2017, background): “This case is of special interest both because it has been shown that soft gluons generate a 2d current algebra [15, 16] and because of the plethora of beautiful results about these amplitudes in the momentum-space representation.”
• Conformally soft theorem in gauge theory (2019, background): “Recently there has been interest in and explicit construction of amplitudes in a conformal basis on the celestial sphere [1–16], in which the conformal action is trivial but translation invariance is hidden.”
• New Symmetries of QED (2015, methodology): “As discussed in [6, 21], a CPT and Lorentz-invariant matching condition for the gauge field is given by Az(z, z̄) ∣”
• TASI Lectures on Scattering Amplitudes (2017, methodology): “Repeating this procedure cyclically, we find that [12] = [23] = [31] = 0.”